117914664960 has 204 divisors, whose sum is σ = 408777943392. Its totient is φ = 31443124224.

The previous prime is 117914664929. The next prime is 117914664977. The reversal of 117914664960 is 69466419711.

117914664960 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 146 + 6 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 117914664897 and 117914664906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2929129 + ... + 2969111.

It is an arithmetic number, because the mean of its divisors is an integer number (2003813448).

Almost surely, 2^117914664960 is an apocalyptic number.

117914664960 is a gapful number since it is divisible by the number (10) 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 117914664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204388971696).

117914664960 is an abundant number, since it is smaller than the sum of its proper divisors (290863278432).

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

117914664960 is an frugal number, since it uses more digits than its factorization.

117914664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40026 (or 39993 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 117914664960 in words is "one hundred seventeen billion, nine hundred fourteen million, six hundred sixty-four thousand, nine hundred sixty".