114165707256 has 160 divisors (see below), whose sum is σ = 323473075200. Its totient is φ = 37617099840.

The previous prime is 114165707239. The next prime is 114165707261. The reversal of 114165707256 is 652707561411.

114165707256 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 6 + 570 + 72 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20171355 + ... + 20177013.

It is an arithmetic number, because the mean of its divisors is an integer number (2021706720).

Almost surely, 2^114165707256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114165707256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161736537600).

114165707256 is an abundant number, since it is smaller than the sum of its proper divisors (209307367944).

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

114165707256 is a wasteful number, since it uses less digits than its factorization.

114165707256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 114165707256 in words is "one hundred fourteen billion, one hundred sixty-five million, seven hundred seven thousand, two hundred fifty-six".