15201644256 has 144 divisors (see below), whose sum is σ = 45838656864. Its totient is φ = 4762263552.

The previous prime is 15201644207. The next prime is 15201644323. The reversal of 15201644256 is 65244610251.

15201644256 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 1 + 644 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 15201644256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194061 + ... + 4197683.

It is an arithmetic number, because the mean of its divisors is an integer number (318324006).

Almost surely, 2^15201644256 is an apocalyptic number.

15201644256 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 15201644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22919328432).

15201644256 is an abundant number, since it is smaller than the sum of its proper divisors (30637012608).

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

15201644256 is a wasteful number, since it uses less digits than its factorization.

15201644256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 15201644256 in words is "fifteen billion, two hundred one million, six hundred forty-four thousand, two hundred fifty-six".