117055217664 has 1120 divisors, whose sum is σ = 456731827200. Its totient is φ = 28983951360.

The previous prime is 117055217659. The next prime is 117055217677. The reversal of 117055217664 is 466712550711.

117055217664 is a `hidden beast` number, since 11 + 70 + 552 + 17 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1481711577 + ... + 1481711655.

Almost surely, 2^117055217664 is an apocalyptic number.

117055217664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117055217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228365913600).

117055217664 is an abundant number, since it is smaller than the sum of its proper divisors (339676609536).

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

117055217664 is an equidigital number, since it uses as much as digits as its factorization.

117055217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 117055217664 in words is "one hundred seventeen billion, fifty-five million, two hundred seventeen thousand, six hundred sixty-four".