114917031936 has 960 divisors, whose sum is σ = 430322457600. Its totient is φ = 29557260288.

The previous prime is 114917031907. The next prime is 114917031989. The reversal of 114917031936 is 639130719411.

114917031936 is a `hidden beast` number, since 1 + 1 + 491 + 70 + 3 + 1 + 93 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114917031891 and 114917031900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947746275 + ... + 1947746333.

It is an arithmetic number, because the mean of its divisors is an integer number (448252560).

Almost surely, 2^114917031936 is an apocalyptic number.

114917031936 is a gapful number since it is divisible by the number (16) 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 114917031936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215161228800).

114917031936 is an abundant number, since it is smaller than the sum of its proper divisors (315405425664).

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

114917031936 is an equidigital number, since it uses as much as digits as its factorization.

114917031936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 114917031936 in words is "one hundred fourteen billion, nine hundred seventeen million, thirty-one thousand, nine hundred thirty-six".