114256253232 has 240 divisors, whose sum is σ = 367609971456. Its totient is φ = 32788800000.

The previous prime is 114256253183. The next prime is 114256253329. The reversal of 114256253232 is 232352652411.

114256253232 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 625 + 3 + 23 + 2 = 666.

It is a super-2 number, since 2×114256253232² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3664107 + ... + 3695157.

Almost surely, 2^114256253232 is an apocalyptic number.

114256253232 is a gapful number since it is divisible by the number (12) 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 114256253232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183804985728).

114256253232 is an abundant number, since it is smaller than the sum of its proper divisors (253353718224).

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

114256253232 is a wasteful number, since it uses less digits than its factorization.

114256253232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31191 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 114256253232 in words is "one hundred fourteen billion, two hundred fifty-six million, two hundred fifty-three thousand, two hundred thirty-two".