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Achilles was supposed to be invulnerable.
Another way to say invulnerable is untouchable. For example:
The man with the big muscles thought he was invulnerable.
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Arrogant people appear to be invulnerable to criticism, but it is just a facade.
Invulnerable refers to something being immune. It means that it is not possible for something to be damaged or injured.
Invulnerable