114512684832 has 576 divisors, whose sum is σ = 426865420800. Its totient is φ = 28880603136.

The previous prime is 114512684821. The next prime is 114512684843. The reversal of 114512684832 is 238486215411.

114512684832 is a `hidden beast` number, since 1 + 1 + 4 + 512 + 68 + 48 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (114512684821) and next prime (114512684843).

It is a super-2 number, since 2×114512684832² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29534478 + ... + 29538354.

It is an arithmetic number, because the mean of its divisors is an integer number (741085800).

Almost surely, 2^114512684832 is an apocalyptic number.

114512684832 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 114512684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213432710400).

114512684832 is an abundant number, since it is smaller than the sum of its proper divisors (312352735968).

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

114512684832 is a wasteful number, since it uses less digits than its factorization.

114512684832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3925 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 114512684832 in words is "one hundred fourteen billion, five hundred twelve million, six hundred eighty-four thousand, eight hundred thirty-two".