118395100656000 has 4608 divisors, whose sum is σ = 540683999856000. Its totient is φ = 25383252787200.

The previous prime is 118395100655981. The next prime is 118395100656017. The reversal of 118395100656000 is 656001593811.

118395100656000 is a `hidden beast` number, since 1 + 1 + 8 + 39 + 5 + 1 + 0 + 0 + 6 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1086193583946 + ... + 1086193584054.

Almost surely, 2^{118395100656000} is an apocalyptic number.

118395100656000 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 118395100656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270341999928000).

118395100656000 is an abundant number, since it is smaller than the sum of its proper divisors (422288899200000).

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

118395100656000 is a wasteful number, since it uses less digits than its factorization.

118395100656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 118395100656000 in words is "one hundred eighteen trillion, three hundred ninety-five billion, one hundred million, six hundred fifty-six thousand".