Is there a name for raising a number to its own value as a power

Question

Is there a mathematical term for raising a a number to the power of its own value.... eg. $5^5 , 1692^{1692}$.

Many Thanks

Answer 1

Adding a number to itself is a form of multiplication: $x + x = 2x$. Multiplying a number by itself is a form of exponentiation: $x\cdot x = x^2$. Raising a number to its own power is a form of tetration: $x^x = x\uparrow\uparrow2$.

http://en.wikipedia.org/wiki/Tetration