My prefix is not real.
My infix makes you more judicious.
My suffix is the suffix of the superfix of a holy man.
Despite these divisions, my whole is indivisible.
What am I?
Take a more literal understanding of the word "superfix" than its traditional definition.
-fix: (affix) an additional element placed at the beginning or end of a root, stem, or word, or in the body of a word, to modify its meaning.
super- : above.
My infix is an initialism, not properly a word.
My prefix is a word, not the imaginary constant.
My prefix brings communication to life
My infix brings more learning to those at the bar
My suffix is an anagram for a burn, as the natural greenery gives way to black