114513708507264 has 2688 divisors, whose sum is σ = 416360075040000. Its totient is φ = 31204846632960.

The previous prime is 114513708507239. The next prime is 114513708507269. The reversal of 114513708507264 is 462705807315411.

114513708507264 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 3 + 70 + 8 + 507 + 2 + 64 = 666.

It is a super-2 number, since 2×114513708507264² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 114513708507264.

It is not an unprimeable number, because it can be changed into a prime (114513708507269) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 491475143692 + ... + 491475143924.

It is an arithmetic number, because the mean of its divisors is an integer number (154895861250).

Almost surely, 2^{114513708507264} 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 114513708507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208180037520000).

114513708507264 is an abundant number, since it is smaller than the sum of its proper divisors (301846366532736).

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

114513708507264 is a wasteful number, since it uses less digits than its factorization.

114513708507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 114513708507264 in words is "one hundred fourteen trillion, five hundred thirteen billion, seven hundred eight million, five hundred seven thousand, two hundred sixty-four".