1157365004481 has 27 divisors (see below), whose sum is σ = 1944726098211. Its totient is φ = 661338521424.

The previous prime is 1157365004461. The next prime is 1157365004489. The reversal of 1157365004481 is 1844005637511.

The square root of 1157365004481 is 1075809.

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

1157365004481 is a `hidden beast` number, since 1 + 157 + 3 + 6 + 50 + 0 + 448 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193944232881 + 963420771600 = 440391^2 + 981540^2 .

It is not a de Polignac number, because 1157365004481 - 2²⁵ = 1157331450049 is a prime.

It is a super-2 number, since 2×1157365004481² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1157365004489) 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, 22566375 + ... + 22617603.

Almost surely, 2^{1157365004481} is an apocalyptic number.

1157365004481 is the 1075809-th square number.

1157365004481 is the 537905-th centered octagonal number.

It is an amenable number.

1157365004481 is a deficient number, since it is larger than the sum of its proper divisors (787361093730).

1157365004481 is an frugal number, since it uses more digits than its factorization.

1157365004481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102478 (or 51239 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1157365004481 in words is "one trillion, one hundred fifty-seven billion, three hundred sixty-five million, four thousand, four hundred eighty-one".