114268464 has 60 divisors (see below), whose sum is σ = 320626800. Its totient is φ = 37990272.

The previous prime is 114268459. The next prime is 114268487. The reversal of 114268464 is 464862411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 72517 + ... + 74075.

It is an arithmetic number, because the mean of its divisors is an integer number (5343780).

Almost surely, 2^114268464 is an apocalyptic number.

It is an amenable number.

114268464 is an abundant number, since it is smaller than the sum of its proper divisors (206358336).

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

114268464 is a wasteful number, since it uses less digits than its factorization.

114268464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2073 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 114268464 is about 10689.6428378127. The cubic root of 114268464 is about 485.2610830808.

The spelling of 114268464 in words is "one hundred fourteen million, two hundred sixty-eight thousand, four hundred sixty-four".