114356264 has 64 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 49613760.

The previous prime is 114356239. The next prime is 114356267. The reversal of 114356264 is 462653411.

It is a self number, because there is not a number n which added to its sum of digits gives 114356264.

It is not an unprimeable number, because it can be changed into a prime (114356267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177527 + ... + 178169.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2^114356264 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 114356264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

114356264 is an abundant number, since it is smaller than the sum of its proper divisors (130466776).

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

114356264 is a wasteful number, since it uses less digits than its factorization.

114356264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 746 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 114356264 is about 10693.7488281706. The cubic root of 114356264 is about 485.3853372974.

The spelling of 114356264 in words is "one hundred fourteen million, three hundred fifty-six thousand, two hundred sixty-four".