37357544961 has 27 divisors (see below), whose sum is σ = 59322520803. Its totient is φ = 22637070720.

The previous prime is 37357544951. The next prime is 37357544971. The reversal of 37357544961 is 16944575373.

The square root of 37357544961 is 193281.

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

37357544961 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 7 + 544 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (37357544951) and next prime (37357544971).

It can be written as a sum of positive squares in only one way, i.e., 35319564225 + 2037980736 = 187935^2 + 45144^2 .

It is not a de Polignac number, because 37357544961 - 2²⁷ = 37223327233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37357544898 and 37357544907.

It is not an unprimeable number, because it can be changed into a prime (37357544941) 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, 6375345 + ... + 6381201.

Almost surely, 2^37357544961 is an apocalyptic number.

37357544961 is the 193281-st square number.

37357544961 is the 96641-st centered octagonal number.

It is an amenable number.

37357544961 is a deficient number, since it is larger than the sum of its proper divisors (21964975842).

37357544961 is an frugal number, since it uses more digits than its factorization.

37357544961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742 (or 5871 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 37357544961 in words is "thirty-seven billion, three hundred fifty-seven million, five hundred forty-four thousand, nine hundred sixty-one".