117164154337175 has 36 divisors (see below), whose sum is σ = 159722515854720. Its totient is φ = 85193924323200.

The previous prime is 117164154337157. The next prime is 117164154337183. The reversal of 117164154337175 is 571733451461711.

It is not a de Polignac number, because 117164154337175 - 2³⁸ = 116889276430231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 117164154337175.

It is a congruent number.

It is an unprimeable number.

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 in 35 ways as a sum of consecutive naturals, for example, 12039434 + ... + 19475016.

It is an arithmetic number, because the mean of its divisors is an integer number (4436736551520).

Almost surely, 2^{117164154337175} is an apocalyptic number.

117164154337175 is a deficient number, since it is larger than the sum of its proper divisors (42558361517545).

117164154337175 is a wasteful number, since it uses less digits than its factorization.

117164154337175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7440824 (or 7440808 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 56.

The spelling of 117164154337175 in words is "one hundred seventeen trillion, one hundred sixty-four billion, one hundred fifty-four million, three hundred thirty-seven thousand, one hundred seventy-five".