18892549061136 has 45 divisors (see below), whose sum is σ = 52873043691949. Its totient is φ = 6297498967488.

The previous prime is 18892549061123. The next prime is 18892549061143. The reversal of 18892549061136 is 63116094529881.

The square root of 18892549061136 is 4346556.

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

18892549061136 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 2 + 5 + 4 + 9 + 0 + 611 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23464112400 + 18869084948736 = 153180^2 + 4343856^2 .

It is a super-2 number, since 2×18892549061136² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51977566 + ... + 52339778.

Almost surely, 2^{18892549061136} is an apocalyptic number.

18892549061136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18892549061136 is the 4346556-th square number.

It is an amenable number.

18892549061136 is an abundant number, since it is smaller than the sum of its proper divisors (33980494630813).

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

18892549061136 is an frugal number, since it uses more digits than its factorization.

18892549061136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724440 (or 362218 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 18892549061136 in words is "eighteen trillion, eight hundred ninety-two billion, five hundred forty-nine million, sixty-one thousand, one hundred thirty-six".