“Leave Superwoman to me and my mustache.”

I just read JLA: Earth 2, a comic book by Grant Morrison and Frank Quitely.
At one point in the story, Superman has to disguise himself with a moustache
to pose as Evil Antimatter Clark Kent, The text isn’t clear as to where the
moustache came from but I choose to believe that it isn’t a fake, but that
Super-Moustache-Growing is one of Superman’s lesser-known powers.