38492234132521 has 27 divisors (see below), whose sum is σ = 41975660312229. Its totient is φ = 35281809312672.

The previous prime is 38492234132483. The next prime is 38492234132593. The reversal of 38492234132521 is 12523143229483.

The square root of 38492234132521 is 6204211.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20832606275625 + 17659627856896 = 4564275^2 + 4202336^2 .

It is not a de Polignac number, because 38492234132521 - 2⁷ = 38492234132393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38492234132021) 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 26 ways as a sum of consecutive naturals, for example, 12017555106 + ... + 12017558308.

Almost surely, 2^{38492234132521} is an apocalyptic number.

38492234132521 is the 6204211-st square number.

38492234132521 is the 3102106-th centered octagonal number.

It is an amenable number.

38492234132521 is a deficient number, since it is larger than the sum of its proper divisors (3483426179708).

38492234132521 is an frugal number, since it uses more digits than its factorization.

38492234132521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 3365 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The spelling of 38492234132521 in words is "thirty-eight trillion, four hundred ninety-two billion, two hundred thirty-four million, one hundred thirty-two thousand, five hundred twenty-one".