15045440256 has 576 divisors, whose sum is σ = 56316288000. Its totient is φ = 3896709120.

The previous prime is 15045440251. The next prime is 15045440279. The reversal of 15045440256 is 65204454051.

15045440256 is a `hidden beast` number, since 150 + 4 + 54 + 402 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15045440256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15045440251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43109970 + ... + 43110318.

Almost surely, 2^15045440256 is an apocalyptic number.

15045440256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15045440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158144000).

15045440256 is an abundant number, since it is smaller than the sum of its proper divisors (41270847744).

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

15045440256 is an frugal number, since it uses more digits than its factorization.

15045440256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 15045440256 in words is "fifteen billion, forty-five million, four hundred forty thousand, two hundred fifty-six".