118089316800 has 3360 divisors, whose sum is σ = 614640660480. Its totient is φ = 21499084800.

The previous prime is 118089316777. The next prime is 118089316837. The reversal of 118089316800 is 8613980811.

118089316800 is a `hidden beast` number, since 1 + 180 + 89 + 316 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3809332785 + ... + 3809332815.

It is an arithmetic number, because the mean of its divisors is an integer number (182928768).

Almost surely, 2^118089316800 is an apocalyptic number.

118089316800 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 118089316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307320330240).

118089316800 is an abundant number, since it is smaller than the sum of its proper divisors (496551343680).

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

118089316800 is a wasteful number, since it uses less digits than its factorization.

118089316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 118089316800 in words is "one hundred eighteen billion, eighty-nine million, three hundred sixteen thousand, eight hundred".