13318808256 has 336 divisors, whose sum is σ = 42807867648. Its totient is φ = 3931545600.

The previous prime is 13318808213. The next prime is 13318808273. The reversal of 13318808256 is 65280881331.

13318808256 is a `hidden beast` number, since 1 + 3 + 318 + 80 + 8 + 256 = 666.

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, 42015010 + ... + 42015326.

It is an arithmetic number, because the mean of its divisors is an integer number (127404368).

Almost surely, 2^13318808256 is an apocalyptic number.

13318808256 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 13318808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403933824).

13318808256 is an abundant number, since it is smaller than the sum of its proper divisors (29489059392).

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

13318808256 is a wasteful number, since it uses less digits than its factorization.

13318808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13318808256 in words is "thirteen billion, three hundred eighteen million, eight hundred eight thousand, two hundred fifty-six".