18046567872 has 336 divisors, whose sum is σ = 56915913600. Its totient is φ = 5444075520.

The previous prime is 18046567867. The next prime is 18046567919. The reversal of 18046567872 is 27876564081.

18046567872 is a `hidden beast` number, since 1 + 8 + 0 + 4 + 6 + 567 + 8 + 72 = 666.

It is a super-2 number, since 2×18046567872² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31716004 + ... + 31716572.

It is an arithmetic number, because the mean of its divisors is an integer number (169392600).

Almost surely, 2^18046567872 is an apocalyptic number.

18046567872 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 18046567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28457956800).

18046567872 is an abundant number, since it is smaller than the sum of its proper divisors (38869345728).

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

18046567872 is a wasteful number, since it uses less digits than its factorization.

18046567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 18046567872 in words is "eighteen billion, forty-six million, five hundred sixty-seven thousand, eight hundred seventy-two".