18968672932416 has 189 divisors, whose sum is σ = 55015023475321. Its totient is φ = 6248781124608.

The previous prime is 18968672932387. The next prime is 18968672932421. The reversal of 18968672932416 is 61423927686981.

The square root of 18968672932416 is 4355304.

It is a perfect power (a square), and thus also a powerful number.

18968672932416 is a `hidden beast` number, since 1 + 8 + 9 + 68 + 67 + 2 + 93 + 2 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3642387518016 + 15326285414400 = 1908504^2 + 3914880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9302928325 + ... + 9302930363.

Almost surely, 2^{18968672932416} is an apocalyptic number.

18968672932416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18968672932416 is the 4355304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18968672932416

18968672932416 is an abundant number, since it is smaller than the sum of its proper divisors (36046350542905).

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

18968672932416 is an frugal number, since it uses more digits than its factorization.

18968672932416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 2133 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 18968672932416 in words is "eighteen trillion, nine hundred sixty-eight billion, six hundred seventy-two million, nine hundred thirty-two thousand, four hundred sixteen".