37538490458881 has 16 divisors (see below), whose sum is σ = 38090917226320. Its totient is φ = 36987111336960.

The previous prime is 37538490458849. The next prime is 37538490458939. The reversal of 37538490458881 is 18885409483573.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 513395178256 + 37025095280625 = 716516^2 + 6084825^2 .

It is a cyclic number.

It is not a de Polignac number, because 37538490458881 - 2⁵ = 37538490458849 is a prime.

It is a super-2 number, since 2×37538490458881² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37538490468881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373865221 + ... + 373965613.

It is an arithmetic number, because the mean of its divisors is an integer number (2380682326645).

Almost surely, 2^{37538490458881} is an apocalyptic number.

It is an amenable number.

37538490458881 is a deficient number, since it is larger than the sum of its proper divisors (552426767439).

37538490458881 is a wasteful number, since it uses less digits than its factorization.

37538490458881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105556.

The product of its (nonzero) digits is 928972800, while the sum is 73.

The spelling of 37538490458881 in words is "thirty-seven trillion, five hundred thirty-eight billion, four hundred ninety million, four hundred fifty-eight thousand, eight hundred eighty-one".