114400056456 has 80 divisors (see below), whose sum is σ = 366201253440. Its totient is φ = 32685729120.

The previous prime is 114400056427. The next prime is 114400056469. The reversal of 114400056456 is 654650004411.

114400056456 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 0 + 0 + 5 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114400056456.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12605700 + ... + 12614771.

It is an arithmetic number, because the mean of its divisors is an integer number (4577515668).

Almost surely, 2^114400056456 is an apocalyptic number.

It is an amenable number.

114400056456 is an abundant number, since it is smaller than the sum of its proper divisors (251801196984).

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

114400056456 is a wasteful number, since it uses less digits than its factorization.

114400056456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220496 (or 25220483 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 114400056456 in words is "one hundred fourteen billion, four hundred million, fifty-six thousand, four hundred fifty-six".