117917517306864 has 160 divisors (see below), whose sum is σ = 333153114336000. Its totient is φ = 35642282618880.

The previous prime is 117917517306839. The next prime is 117917517306917. The reversal of 117917517306864 is 468603715719711.

It is a super-3 number, since 3×117917517306864³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 117917517306795 and 117917517306804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094826487 + ... + 1094934185.

It is an arithmetic number, because the mean of its divisors is an integer number (2082206964600).

Almost surely, 2^{117917517306864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117917517306864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166576557168000).

117917517306864 is an abundant number, since it is smaller than the sum of its proper divisors (215235597029136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117917517306864 is a wasteful number, since it uses less digits than its factorization.

117917517306864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112943 (or 112937 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 66.

The spelling of 117917517306864 in words is "one hundred seventeen trillion, nine hundred seventeen billion, five hundred seventeen million, three hundred six thousand, eight hundred sixty-four".