None. Executive orders are not secret: in fact, in our internet age, few things are secret. The executive orders the president has signed are public information, and are posted to the White House website for anyone to see. And it is also a myth that Mr. Obama has signed more executive orders than anyone. In fact, in the year 2012, he has only signed 37 of them, and none are particularly controversial or shocking. The total for his entire presidency is about 140; President Bush issued nearly 300 during his term in office, and Bill Clinton issued more than 360 of them. I enclose a link to President Obama's executive orders, so you can see them for yourself.
You are maybe confusing Executive Orders with Security Findings. A "finding" is often secret, and can be anything, up to and including an order to shoot a Predator missile at someone's car. Interestingly, President Ford (Republican) issued executive order #11905 prohibiting anyone in U.S. intelligence (like the CIA, who controls the Predator missiles) from carrying out assassinations, and President Carter (Democrat) issued executive order #12036, which extended and clarified the prohibition. No-one seemed to care about these when the CIA was recently ordered to use a Predator missile to kill Anwar al-Awlaki (an American citizen born in Cruces, New Mexico in 1971).
Addendum: Not all Executive Orders are public information and indeed "ARE" Secret if deemed appropriate by the President.
Many people believe President Obama overlooked the US Constitution is his fervor to make changes he deemed appropriate. However, separation of the Powers was not understood by Obama very apparently.
None of his executive orders were issued illegally because the Congress and Supreme Court would not allow it.
One way that American presidents have not used executive orders is to declare war. According to the Constitution, the power to declare war is exclusively given to Congress, not to the President.
executive agreement or executive orders
No, this is an internet myth. The president has signed about 137 executive orders, which is a very typical number for a president at this point in his term.
Executive Orders are generally orders from the President of the United States to staff of the executive branch and not to citizens. Article I, Section 1 of the U. S. Constitution specifically reserves all federal legislative authority to Congress, not the president.
Executive Orders The President is the nations's chief executive and has inherent powers to issue executive orders. These orders carry out policies described in laws that have been passed by Congress. The orders have the force of law.
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Executive Orders
the president makes an executive order during national emergency or crisis.
At this point in his presidency, Barack Obama has issued 227 executive orders. This is fewer than President Bush (291) or President Clinton (364) issued. You may have read online claims that Mr. Obama has issued a record number of executive orders; these claims are false.
Executive Orders.
As of January 20, 2021, President Trump signed 220 executive orders during his presidency.
The President issues Executive Orders and Congress writes and votes on laws.