37407814921 has 9 divisors (see below), whose sum is σ = 37599688711. Its totient is φ = 37216918264.

The previous prime is 37407814853. The next prime is 37407814949. The reversal of 37407814921 is 12941870473.

The square root of 37407814921 is 193411.

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

It can be written as a sum of positive squares in only one way, i.e., 2461251321 + 34946563600 = 49611^2 + 186940^2 .

It is not a de Polignac number, because 37407814921 - 2¹³ = 37407806729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37407814121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52027200 + ... + 52027918.

Almost surely, 2^37407814921 is an apocalyptic number.

37407814921 is the 193411-st square number.

37407814921 is the 96706-th centered octagonal number.

It is an amenable number.

37407814921 is a deficient number, since it is larger than the sum of its proper divisors (191873790).

37407814921 is an frugal number, since it uses more digits than its factorization.

37407814921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 37407814921 in words is "thirty-seven billion, four hundred seven million, eight hundred fourteen thousand, nine hundred twenty-one".