37075117401 has 81 divisors (see below), whose sum is σ = 63863002749. Its totient is φ = 20665899072.

The previous prime is 37075117393. The next prime is 37075117423. The reversal of 37075117401 is 10471157073.

The square root of 37075117401 is 192549.

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

37075117401 is a `hidden beast` number, since 3 + 70 + 7 + 511 + 74 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15712371801 + 21362745600 = 125349^2 + 146160^2 .

It is not a de Polignac number, because 37075117401 - 2³ = 37075117393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37075117901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 214306951 + ... + 214307123.

Almost surely, 2^37075117401 is an apocalyptic number.

37075117401 is the 192549-th square number.

37075117401 is the 96275-th centered octagonal number.

It is an amenable number.

37075117401 is a deficient number, since it is larger than the sum of its proper divisors (26787885348).

37075117401 is an equidigital number, since it uses as much as digits as its factorization.

37075117401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

Multiplying 37075117401 by its sum of digits (36), we get a square (1334704226436 = 1155294²).

The spelling of 37075117401 in words is "thirty-seven billion, seventy-five million, one hundred seventeen thousand, four hundred one".