114513264 has 60 divisors (see below), whose sum is σ = 332358936. Its totient is φ = 38169792.

The previous prime is 114513229. The next prime is 114513299. The reversal of 114513264 is 462315411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114513229) and next prime (114513299).

It is a super-2 number, since 2×114513264² = 26226575263867392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10839 + ... + 18614.

Almost surely, 2^114513264 is an apocalyptic number.

It is an amenable number.

114513264 is an abundant number, since it is smaller than the sum of its proper divisors (217845672).

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

114513264 is an equidigital number, since it uses as much as digits as its factorization.

114513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29476 (or 29458 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 114513264 is about 10701.0870475854. The cubic root of 114513264 is about 485.6073646344.

Adding to 114513264 its reverse (462315411), we get a palindrome (576828675).

The spelling of 114513264 in words is "one hundred fourteen million, five hundred thirteen thousand, two hundred sixty-four".