114351264 has 120 divisors (see below), whose sum is σ = 339650388. Its totient is φ = 37739520.

The previous prime is 114351257. The next prime is 114351311. The reversal of 114351264 is 462153411.

It is a happy number.

114351264 is a `hidden beast` number, since 1 + 143 + 512 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114318864 + 32400 = 10692^2 + 180^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 406804 + ... + 407084.

Almost surely, 2^114351264 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 114351264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169825194).

114351264 is an abundant number, since it is smaller than the sum of its proper divisors (225299124).

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

114351264 is a wasteful number, since it uses less digits than its factorization.

114351264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

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

The square root of 114351264 is about 10693.5150441751. The cubic root of 114351264 is about 485.3782630251.

The spelling of 114351264 in words is "one hundred fourteen million, three hundred fifty-one thousand, two hundred sixty-four".