117906628644864 has 416 divisors, whose sum is σ = 357766707689600. Its totient is φ = 38352456253440.

The previous prime is 117906628644859. The next prime is 117906628644899. The reversal of 117906628644864 is 468446826609711.

117906628644864 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 0 + 6 + 62 + 86 + 4 + 486 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 117906628644792 and 117906628644801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5368898844 + ... + 5368920804.

Almost surely, 2^{117906628644864} 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 117906628644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178883353844800).

117906628644864 is an abundant number, since it is smaller than the sum of its proper divisors (239860079044736).

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

117906628644864 is a wasteful number, since it uses less digits than its factorization.

117906628644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23166 (or 23138 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 117906628644864 in words is "one hundred seventeen trillion, nine hundred six billion, six hundred twenty-eight million, six hundred forty-four thousand, eight hundred sixty-four".