1158875933121 has 27 divisors (see below), whose sum is σ = 1681226699113. Its totient is φ = 769231700160.

The previous prime is 1158875933113. The next prime is 1158875933143. The reversal of 1158875933121 is 1213395788511.

The square root of 1158875933121 is 1076511.

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

1158875933121 is a `hidden beast` number, since 1 + 1 + 588 + 7 + 5 + 9 + 3 + 31 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128317986225 + 1030557946896 = 358215^2 + 1015164^2 .

It is not a de Polignac number, because 1158875933121 - 2³ = 1158875933113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1158875933161) 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, 907498135 + ... + 907499411.

Almost surely, 2^{1158875933121} is an apocalyptic number.

1158875933121 is the 1076511-st square number.

1158875933121 is the 538256-th centered octagonal number.

It is an amenable number.

1158875933121 is a deficient number, since it is larger than the sum of its proper divisors (522350765992).

1158875933121 is an frugal number, since it uses more digits than its factorization.

1158875933121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The spelling of 1158875933121 in words is "one trillion, one hundred fifty-eight billion, eight hundred seventy-five million, nine hundred thirty-three thousand, one hundred twenty-one".