114618924 has 72 divisors (see below), whose sum is σ = 332186400. Its totient is φ = 32643072.

The previous prime is 114618919. The next prime is 114618937. The reversal of 114618924 is 429816411.

114618924 is a `hidden beast` number, since 1 + 14 + 618 + 9 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112642 + ... + 113654.

It is an arithmetic number, because the mean of its divisors is an integer number (4613700).

Almost surely, 2^114618924 is an apocalyptic number.

114618924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114618924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166093200).

114618924 is an abundant number, since it is smaller than the sum of its proper divisors (217567476).

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

114618924 is a wasteful number, since it uses less digits than its factorization.

114618924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1474 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 114618924 is about 10706.0227909341. The cubic root of 114618924 is about 485.7566733975.

The spelling of 114618924 in words is "one hundred fourteen million, six hundred eighteen thousand, nine hundred twenty-four".