13559648256 has 624 divisors, whose sum is σ = 51888739968. Its totient is φ = 3303014400.

The previous prime is 13559648237. The next prime is 13559648261. The reversal of 13559648256 is 65284695531.

13559648256 is a `hidden beast` number, since 1 + 3 + 5 + 596 + 48 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48254836 + ... + 48255116.

It is an arithmetic number, because the mean of its divisors is an integer number (83155032).

Almost surely, 2^13559648256 is an apocalyptic number.

13559648256 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 13559648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944369984).

13559648256 is an abundant number, since it is smaller than the sum of its proper divisors (38329091712).

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

13559648256 is a wasteful number, since it uses less digits than its factorization.

13559648256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 321 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 13559648256 in words is "thirteen billion, five hundred fifty-nine million, six hundred forty-eight thousand, two hundred fifty-six".