116418556800 has 2304 divisors, whose sum is σ = 566610163200. Its totient is φ = 22773104640.

The previous prime is 116418556781. The next prime is 116418556801. The reversal of 116418556800 is 8655814611.

116418556800 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 1 + 85 + 568 + 0 + 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 not an unprimeable number, because it can be changed into a prime (116418556801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1737590367 + ... + 1737590433.

It is an arithmetic number, because the mean of its divisors is an integer number (245924550).

Almost surely, 2^116418556800 is an apocalyptic number.

116418556800 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 116418556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283305081600).

116418556800 is an abundant number, since it is smaller than the sum of its proper divisors (450191606400).

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

116418556800 is a wasteful number, since it uses less digits than its factorization.

116418556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 116418556800 in words is "one hundred sixteen billion, four hundred eighteen million, five hundred fifty-six thousand, eight hundred".