37040466681 has 9 divisors (see below), whose sum is σ = 53503730319. Its totient is φ = 24693259536.

The previous prime is 37040466629. The next prime is 37040466703. The reversal of 37040466681 is 18666404073.

It is a happy number.

The square root of 37040466681 is 192459.

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

It can be written as a sum of positive squares in only one way, i.e., 36708644025 + 331822656 = 191595^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-37040466681 is a prime.

It is a super-2 number, since 2×37040466681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37040466181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 545301 + ... + 609453.

Almost surely, 2^37040466681 is an apocalyptic number.

37040466681 is the 192459-th square number.

37040466681 is the 96230-th centered octagonal number.

It is an amenable number.

37040466681 is a deficient number, since it is larger than the sum of its proper divisors (16463263638).

37040466681 is an frugal number, since it uses more digits than its factorization.

37040466681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128312 (or 64156 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 37040466681 in words is "thirty-seven billion, forty million, four hundred sixty-six thousand, six hundred eighty-one".