37725404694201 has 189 divisors, whose sum is σ = 65471127404709. Its totient is φ = 20932575028848.

The previous prime is 37725404694181. The next prime is 37725404694221. The reversal of 37725404694201 is 10249640452773.

The square root of 37725404694201 is 6142101.

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

37725404694201 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 540 + 4 + 6 + 94 + 2 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (37725404694181) and next prime (37725404694221).

It is not a de Polignac number, because 37725404694201 - 2¹¹ = 37725404692153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37725404694221) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 297050430600 + ... + 297050430726.

Almost surely, 2^{37725404694201} is an apocalyptic number.

37725404694201 is the 6142101-st square number.

37725404694201 is the 3071051-st centered octagonal number.

It is an amenable number.

37725404694201 is a deficient number, since it is larger than the sum of its proper divisors (27745722710508).

37725404694201 is an frugal number, since it uses more digits than its factorization.

37725404694201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 37725404694201 in words is "thirty-seven trillion, seven hundred twenty-five billion, four hundred four million, six hundred ninety-four thousand, two hundred one".