18457965072 has 160 divisors (see below), whose sum is σ = 54442725760. Its totient is φ = 6060054528.

The previous prime is 18457965049. The next prime is 18457965103. The reversal of 18457965072 is 27056975481.

18457965072 is a `hidden beast` number, since 1 + 8 + 4 + 579 + 65 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2340528 + ... + 2348400.

It is an arithmetic number, because the mean of its divisors is an integer number (340267036).

Almost surely, 2^18457965072 is an apocalyptic number.

18457965072 is a gapful number since it is divisible by the number (12) 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 18457965072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27221362880).

18457965072 is an abundant number, since it is smaller than the sum of its proper divisors (35984760688).

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

18457965072 is an frugal number, since it uses more digits than its factorization.

18457965072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7969 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 18457965072 in words is "eighteen billion, four hundred fifty-seven million, nine hundred sixty-five thousand, seventy-two".