37129821481 has 9 divisors (see below), whose sum is σ = 37335005911. Its totient is φ = 36925761712.

The previous prime is 37129821467. The next prime is 37129821497. The reversal of 37129821481 is 18412892173.

The square root of 37129821481 is 192691.

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., 7540317225 + 29589504256 = 86835^2 + 172016^2 .

It is not a de Polignac number, because 37129821481 - 2⁹ = 37129820969 is a prime.

It is a super-2 number, since 2×37129821481² (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 (37129821581) 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, 44896590 + ... + 44897416.

Almost surely, 2^37129821481 is an apocalyptic number.

37129821481 is the 192691-st square number.

37129821481 is the 96346-th centered octagonal number.

It is an amenable number.

37129821481 is a deficient number, since it is larger than the sum of its proper divisors (205184430).

37129821481 is an frugal number, since it uses more digits than its factorization.

37129821481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 1060 counting only the distinct ones).

The product of its digits is 193536, while the sum is 46.

The spelling of 37129821481 in words is "thirty-seven billion, one hundred twenty-nine million, eight hundred twenty-one thousand, four hundred eighty-one".