37218512241 has 27 divisors (see below), whose sum is σ = 54357644523. Its totient is φ = 24539551200.

The previous prime is 37218512213. The next prime is 37218512249. The reversal of 37218512241 is 14221581273.

The square root of 37218512241 is 192921.

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

37218512241 is a `hidden beast` number, since 372 + 18 + 51 + 224 + 1 = 666.

37218512241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31283350641 + 5935161600 = 176871^2 + 77040^2 .

It is not a de Polignac number, because 37218512241 - 2⁷ = 37218512113 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 37218512196 and 37218512205.

It is not an unprimeable number, because it can be changed into a prime (37218512249) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61927341 + ... + 61927941.

Almost surely, 2^37218512241 is an apocalyptic number.

37218512241 is the 192921-st square number.

37218512241 is the 96461-st centered octagonal number.

It is an amenable number.

37218512241 is a deficient number, since it is larger than the sum of its proper divisors (17139132282).

37218512241 is an frugal number, since it uses more digits than its factorization.

37218512241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

Multiplying 37218512241 by its sum of digits (36), we get a square (1339866440676 = 1157526²).

The spelling of 37218512241 in words is "thirty-seven billion, two hundred eighteen million, five hundred twelve thousand, two hundred forty-one".