我が不死身よ (waga fushimi yo) is a fitting way of saying that in Japanese.
Uh, please forgive me for I do not know how to say "the" in Japanese but "Fumetsu" is immortal im Japanese. :) Hope I helped.
不滅の雨 Fumetsu no ame
Fumetsu no
How about "Fumetsu" it can be translated into Undying, Immortal or indestructible.
Fukyuu. Not pronounced like the English swear word, but pronounced "foo kyoo".
不死の子供
fumetsu <img src="http://www.df.lth.se/cgi-bin/j-e/inline/jap/%c9%d4%cc%c7?TR">
It is: 不死鳥, literally "immortal bird."
unsterblich
It is a base of a Japanese legend, so yes immortal.
immortel, immortelle
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