15645006400 has 189 divisors, whose sum is σ = 39912845371. Its totient is φ = 6035860480.

The previous prime is 15645006397. The next prime is 15645006401. The reversal of 15645006400 is 460054651.

The square root of 15645006400 is 125080.

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 117852736 + 15527153664 = 10856^2 + 124608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15645006401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265169571 + ... + 265169629.

Almost surely, 2^15645006400 is an apocalyptic number.

15645006400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15645006400 is the 125080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15645006400

15645006400 is an abundant number, since it is smaller than the sum of its proper divisors (24267838971).

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

15645006400 is an frugal number, since it uses more digits than its factorization.

15645006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Multiplying 15645006400 by its product of nonzero digits (14400), we get a square (225288092160000 = 15009600²).

The spelling of 15645006400 in words is "fifteen billion, six hundred forty-five million, six thousand, four hundred".