15225585664 has 57 divisors (see below), whose sum is σ = 30577990701. Its totient is φ = 7581204480.

The previous prime is 15225585659. The next prime is 15225585677. The reversal of 15225585664 is 46658552251.

The square root of 15225585664 is 123392.

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., 11450712064 + 3774873600 = 107008^2 + 61440^2 .

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, 63176584 + ... + 63176824.

Almost surely, 2^15225585664 is an apocalyptic number.

15225585664 is the 123392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15225585664

15225585664 is an abundant number, since it is smaller than the sum of its proper divisors (15352405037).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15225585664 is an frugal number, since it uses more digits than its factorization.

15225585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 243 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 49.

Multiplying 15225585664 by its sum of digits (49), we get a square (746053697536 = 863744²).

The spelling of 15225585664 in words is "fifteen billion, two hundred twenty-five million, five hundred eighty-five thousand, six hundred sixty-four".