18692557133121 has 27 divisors (see below), whose sum is σ = 27055986708387. Its totient is φ = 12436083759600.

The previous prime is 18692557133077. The next prime is 18692557133123. The reversal of 18692557133121 is 12133175529681.

It is a happy number.

The square root of 18692557133121 is 4323489.

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

18692557133121 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 25 + 571 + 33 + 12 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60937391025 + 18631619742096 = 246855^2 + 4316436^2 .

It is not a de Polignac number, because 18692557133121 - 2¹⁹ = 18692556608833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18692557133123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7950895096 + ... + 7950897446.

Almost surely, 2^{18692557133121} is an apocalyptic number.

18692557133121 is the 4323489-th square number.

18692557133121 is the 2161745-th centered octagonal number.

It is an amenable number.

18692557133121 is a deficient number, since it is larger than the sum of its proper divisors (8363429575266).

18692557133121 is an frugal number, since it uses more digits than its factorization.

18692557133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 2967 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 18692557133121 in words is "eighteen trillion, six hundred ninety-two billion, five hundred fifty-seven million, one hundred thirty-three thousand, one hundred twenty-one".