117638956030801 has 2 divisors, whose sum is σ = 117638956030802. Its totient is φ = 117638956030800.

The previous prime is 117638956030747. The next prime is 117638956030889. The reversal of 117638956030801 is 108030659836711.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80659726117776 + 36979229913025 = 8981076^2 + 6081055^2 .

It is a cyclic number.

It is not a de Polignac number, because 117638956030801 - 2³⁵ = 117604596292433 is a prime.

It is not a weakly prime, because it can be changed into another prime (117638956030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58819478015400 + 58819478015401.

It is an arithmetic number, because the mean of its divisors is an integer number (58819478015401).

Almost surely, 2^{117638956030801} is an apocalyptic number.

It is an amenable number.

117638956030801 is a deficient number, since it is larger than the sum of its proper divisors (1).

117638956030801 is an equidigital number, since it uses as much as digits as its factorization.

117638956030801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 117638956030801 in words is "one hundred seventeen trillion, six hundred thirty-eight billion, nine hundred fifty-six million, thirty thousand, eight hundred one".