118657228800 has 672 divisors, whose sum is σ = 434804295744. Its totient is φ = 28311552000.

The previous prime is 118657228787. The next prime is 118657228831. The reversal of 118657228800 is 8822756811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 118657228800.

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 47 ways as a sum of consecutive naturals, for example, 655564710 + ... + 655564890.

It is an arithmetic number, because the mean of its divisors is an integer number (647030202).

Almost surely, 2^118657228800 is an apocalyptic number.

118657228800 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 118657228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217402147872).

118657228800 is an abundant number, since it is smaller than the sum of its proper divisors (316147066944).

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

118657228800 is a wasteful number, since it uses less digits than its factorization.

118657228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 118657228800 in words is "one hundred eighteen billion, six hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred".