37364503401 has 9 divisors (see below), whose sum is σ = 53971786999. Its totient is φ = 24909282336.

The previous prime is 37364503387. The next prime is 37364503411. The reversal of 37364503401 is 10430546373.

The square root of 37364503401 is 193299.

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

37364503401 is a `hidden beast` number, since 3 + 7 + 3 + 645 + 0 + 3 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16807826025 + 20556677376 = 129645^2 + 143376^2 .

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

It is not a de Polignac number, because 37364503401 - 2⁵ = 37364503369 is a prime.

It is a super-2 number, since 2×37364503401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37364503411) 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, 547681 + ... + 612113.

Almost surely, 2^37364503401 is an apocalyptic number.

37364503401 is the 193299-th square number.

37364503401 is the 96650-th centered octagonal number.

It is an amenable number.

37364503401 is a deficient number, since it is larger than the sum of its proper divisors (16607283598).

37364503401 is an frugal number, since it uses more digits than its factorization.

37364503401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128872 (or 64436 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Multiplying 37364503401 by its sum of digits (36), we get a square (1345122122436 = 1159794²).

The spelling of 37364503401 in words is "thirty-seven billion, three hundred sixty-four million, five hundred three thousand, four hundred one".