18968516141796 has 81 divisors (see below), whose sum is σ = 51921163155771. Its totient is φ = 5836361978304.

The previous prime is 18968516141767. The next prime is 18968516141857. The reversal of 18968516141796 is 69714161586981.

The square root of 18968516141796 is 4355286.

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

18968516141796 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 8 + 516 + 1 + 4 + 17 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 732883239396 + 18235632902400 = 856086^2 + 4270320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 339684390 + ... + 339740226.

Almost surely, 2^{18968516141796} is an apocalyptic number.

18968516141796 is the 4355286-th square number.

It is an amenable number.

18968516141796 is an abundant number, since it is smaller than the sum of its proper divisors (32952647013975).

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

18968516141796 is an frugal number, since it uses more digits than its factorization.

18968516141796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111710 (or 55855 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 72.

The spelling of 18968516141796 in words is "eighteen trillion, nine hundred sixty-eight billion, five hundred sixteen million, one hundred forty-one thousand, seven hundred ninety-six".