117102338457337 has 32 divisors (see below), whose sum is σ = 119380199220000. Its totient is φ = 114851061350400.

The previous prime is 117102338457277. The next prime is 117102338457367. The reversal of 117102338457337 is 733754833201711.

It can be written as a sum of positive squares in 16 ways, for example, as 65585961402256 + 51516377055081 = 8098516^2 + 7177491^2 .

It is a cyclic number.

It is not a de Polignac number, because 117102338457337 - 2²⁷ = 117102204239609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117102338457367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9667486593 + ... + 9667498705.

It is an arithmetic number, because the mean of its divisors is an integer number (3730631225625).

Almost surely, 2^{117102338457337} is an apocalyptic number.

It is an amenable number.

117102338457337 is a deficient number, since it is larger than the sum of its proper divisors (2277860762663).

117102338457337 is a wasteful number, since it uses less digits than its factorization.

117102338457337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061.

The product of its (nonzero) digits is 8890560, while the sum is 55.

The spelling of 117102338457337 in words is "one hundred seventeen trillion, one hundred two billion, three hundred thirty-eight million, four hundred fifty-seven thousand, three hundred thirty-seven".