15723153664 has 81 divisors (see below), whose sum is σ = 33412134091. Its totient is φ = 7383080960.

The previous prime is 15723153661. The next prime is 15723153679. The reversal of 15723153664 is 46635132751.

The square root of 15723153664 is 125392.

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 196000000 + 15527153664 = 14000^2 + 124608^2 .

It is a super-2 number, since 2×15723153664² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (453600) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 15723153664.

It is not an unprimeable number, because it can be changed into a prime (15723153661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34106394 + ... + 34106854.

Almost surely, 2^15723153664 is an apocalyptic number.

15723153664 is the 125392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15723153664

15723153664 is an abundant number, since it is smaller than the sum of its proper divisors (17688980427).

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

15723153664 is an frugal number, since it uses more digits than its factorization.

15723153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 480 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The spelling of 15723153664 in words is "fifteen billion, seven hundred twenty-three million, one hundred fifty-three thousand, six hundred sixty-four".