118431628560 has 480 divisors, whose sum is σ = 467008109568. Its totient is φ = 26333475840.

The previous prime is 118431628489. The next prime is 118431628561. The reversal of 118431628560 is 65826134811.

118431628560 is a `hidden beast` number, since 1 + 1 + 84 + 3 + 1 + 6 + 2 + 8 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (118431628561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61330795 + ... + 61332725.

Almost surely, 2^118431628560 is an apocalyptic number.

118431628560 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 118431628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233504054784).

118431628560 is an abundant number, since it is smaller than the sum of its proper divisors (348576481008).

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

118431628560 is a wasteful number, since it uses less digits than its factorization.

118431628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 118431628560 in words is "one hundred eighteen billion, four hundred thirty-one million, six hundred twenty-eight thousand, five hundred sixty".