38990846521 has 27 divisors (see below), whose sum is σ = 44458342383. Its totient is φ = 34168651440.

The previous prime is 38990846491. The next prime is 38990846527. The reversal of 38990846521 is 12564809983.

The square root of 38990846521 is 197461.

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., 20445854121 + 18544992400 = 142989^2 + 136180^2 .

It is not a de Polignac number, because 38990846521 - 2¹⁹ = 38990322233 is a prime.

It is a super-2 number, since 2×38990846521² (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 (38990846527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62989750 + ... + 62990368.

Almost surely, 2^38990846521 is an apocalyptic number.

38990846521 is the 197461-st square number.

38990846521 is the 98731-st centered octagonal number.

It is an amenable number.

38990846521 is a deficient number, since it is larger than the sum of its proper divisors (5467495862).

38990846521 is an frugal number, since it uses more digits than its factorization.

38990846521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 38990846521 in words is "thirty-eight billion, nine hundred ninety million, eight hundred forty-six thousand, five hundred twenty-one".