114914312413056 has 896 divisors, whose sum is σ = 372869832384000. Its totient is φ = 35050797010944.

The previous prime is 114914312413049. The next prime is 114914312413063. The reversal of 114914312413056 is 650314213419411.

114914312413056 is a `hidden beast` number, since 1 + 1 + 49 + 143 + 1 + 2 + 413 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (114914312413049) and next prime (114914312413063).

It is a super-3 number, since 3×114914312413056³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 121345630375 + ... + 121345631321.

It is an arithmetic number, because the mean of its divisors is an integer number (416149366500).

Almost surely, 2^{114914312413056} is an apocalyptic number.

114914312413056 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 114914312413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186434916192000).

114914312413056 is an abundant number, since it is smaller than the sum of its proper divisors (257955519970944).

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

114914312413056 is an equidigital number, since it uses as much as digits as its factorization.

114914312413056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 114914312413056 in words is "one hundred fourteen trillion, nine hundred fourteen billion, three hundred twelve million, four hundred thirteen thousand, fifty-six".