37888690633641 has 21 divisors (see below), whose sum is σ = 56807298374151. Its totient is φ = 25259016292272.

The previous prime is 37888690633613. The next prime is 37888690633667. The reversal of 37888690633641 is 14633609688873.

The square root of 37888690633641 is 6155379.

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

37888690633641 is a `hidden beast` number, since 3 + 78 + 88 + 69 + 0 + 63 + 364 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 998810354025 + 36889880279616 = 999405^2 + 6073704^2 .

It is not a de Polignac number, because 37888690633641 - 2¹³ = 37888690625449 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37888690633641.

It is not an unprimeable number, because it can be changed into a prime (37888690633141) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 166081245 + ... + 166309221.

Almost surely, 2^{37888690633641} is an apocalyptic number.

37888690633641 is the 6155379-th square number.

37888690633641 is the 3077690-th centered octagonal number.

It is an amenable number.

37888690633641 is a deficient number, since it is larger than the sum of its proper divisors (18918607740510).

37888690633641 is an frugal number, since it uses more digits than its factorization.

37888690633641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455972 (or 227980 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 37888690633641 in words is "thirty-seven trillion, eight hundred eighty-eight billion, six hundred ninety million, six hundred thirty-three thousand, six hundred forty-one".