18990080933121 has 27 divisors (see below), whose sum is σ = 27475720999779. Its totient is φ = 12639040831872.

The previous prime is 18990080933119. The next prime is 18990080933137. The reversal of 18990080933121 is 12133908009981.

The square root of 18990080933121 is 4357761.

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

18990080933121 is a `hidden beast` number, since 1 + 89 + 90 + 0 + 80 + 93 + 312 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7771332619521 + 11218748313600 = 2787711^2 + 3349440^2 .

It is not a de Polignac number, because 18990080933121 - 2¹ = 18990080933119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18990080933221) by changing a digit.

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, 15204227505 + ... + 15204228753.

Almost surely, 2^{18990080933121} is an apocalyptic number.

18990080933121 is the 4357761-st square number.

18990080933121 is the 2178881-st centered octagonal number.

It is an amenable number.

18990080933121 is a deficient number, since it is larger than the sum of its proper divisors (8485640066658).

18990080933121 is an frugal number, since it uses more digits than its factorization.

18990080933121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 18990080933121 in words is "eighteen trillion, nine hundred ninety billion, eighty million, nine hundred thirty-three thousand, one hundred twenty-one".