37361410681 has 27 divisors (see below), whose sum is σ = 44381913933. Its totient is φ = 31359531840.

The previous prime is 37361410673. The next prime is 37361410739. The reversal of 37361410681 is 18601416373.

The square root of 37361410681 is 193291.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2706025 + 37358704656 = 1645^2 + 193284^2 .

It is not a de Polignac number, because 37361410681 - 2³ = 37361410673 is a prime.

It is a super-2 number, since 2×37361410681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37361410651) 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, 71710701 + ... + 71711221.

Almost surely, 2^37361410681 is an apocalyptic number.

37361410681 is the 193291-st square number.

37361410681 is the 96646-th centered octagonal number.

It is an amenable number.

37361410681 is a deficient number, since it is larger than the sum of its proper divisors (7020503252).

37361410681 is an frugal number, since it uses more digits than its factorization.

37361410681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 37361410681 in words is "thirty-seven billion, three hundred sixty-one million, four hundred ten thousand, six hundred eighty-one".