118513704960 has 924 divisors, whose sum is σ = 496273278978. Its totient is φ = 27088846848.

The previous prime is 118513704901. The next prime is 118513704983. The reversal of 118513704960 is 69407315811.

118513704960 is a `hidden beast` number, since 1 + 1 + 8 + 513 + 70 + 4 + 9 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106662334464 + 11851370496 = 326592^2 + 108864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 16930529277 + ... + 16930529283.

Almost surely, 2^118513704960 is an apocalyptic number.

118513704960 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 118513704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248136639489).

118513704960 is an abundant number, since it is smaller than the sum of its proper divisors (377759574018).

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

118513704960 is an frugal number, since it uses more digits than its factorization.

118513704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 118513704960 in words is "one hundred eighteen billion, five hundred thirteen million, seven hundred four thousand, nine hundred sixty".