A cute little paradox. This shows why mathematics chose to spend a lot of time on making sure things are well defined.

If such a number exists, then "The largest number that can be described in 14 words or less plus one" is greater. Therefore no such number exists.

This node is a result of the myriad writeups to smallest number greater than 0. We have to make a distinction between English statements and mathematical statements, otherwise we are just wasting our time.