38813728144 has 15 divisors (see below), whose sum is σ = 75203125153. Its totient is φ = 19406470048.

The previous prime is 38813728139. The next prime is 38813728171. The reversal of 38813728144 is 44182731883.

The square root of 38813728144 is 197012.

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., 4621280400 + 34192447744 = 67980^2 + 184912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 763422 + ... + 812674.

Almost surely, 2^38813728144 is an apocalyptic number.

38813728144 is the 197012-nd square number.

It is an amenable number.

38813728144 is a deficient number, since it is larger than the sum of its proper divisors (36389397009).

38813728144 is an frugal number, since it uses more digits than its factorization.

38813728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98514 (or 49255 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

Multiplying 38813728144 by its sum of digits (49), we get a square (1901872679056 = 1379084²).

The spelling of 38813728144 in words is "thirty-eight billion, eight hundred thirteen million, seven hundred twenty-eight thousand, one hundred forty-four".