10438921588624 has 15 divisors (see below), whose sum is σ = 20225435617713. Its totient is φ = 5219454332448.

The previous prime is 10438921588619. The next prime is 10438921588639. The reversal of 10438921588624 is 42688512983401.

The square root of 10438921588624 is 3230932.

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., 646176400 + 10438275412224 = 25420^2 + 3230832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12519862 + ... + 13327594.

Almost surely, 2^{10438921588624} is an apocalyptic number.

10438921588624 is the 3230932-nd square number.

It is an amenable number.

10438921588624 is a deficient number, since it is larger than the sum of its proper divisors (9786514029089).

10438921588624 is an frugal number, since it uses more digits than its factorization.

10438921588624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615474 (or 807735 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 61.

The spelling of 10438921588624 in words is "ten trillion, four hundred thirty-eight billion, nine hundred twenty-one million, five hundred eighty-eight thousand, six hundred twenty-four".