114312264 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 33036800.

The previous prime is 114312259. The next prime is 114312281. The reversal of 114312264 is 462213411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638527 + ... + 638705.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^114312264 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 114312264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

114312264 is an abundant number, since it is smaller than the sum of its proper divisors (212279736).

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

114312264 is a wasteful number, since it uses less digits than its factorization.

114312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 114312264 is about 10691.6913535698. The cubic root of 114312264 is about 485.3230766225.

Adding to 114312264 its reverse (462213411), we get a palindrome (576525675).

It can be divided in two parts, 11431 and 2264, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 114312264 in words is "one hundred fourteen million, three hundred twelve thousand, two hundred sixty-four".