13008163424256 has 4320 divisors, whose sum is σ = 57849334583040. Its totient is φ = 2859378278400.

The previous prime is 13008163424231. The next prime is 13008163424293. The reversal of 13008163424256 is 65242436180031.

13008163424256 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 8 + 1 + 634 + 2 + 4 + 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 359 ways as a sum of consecutive naturals, for example, 419618174961 + ... + 419618174991.

It is an arithmetic number, because the mean of its divisors is an integer number (13391049672).

Almost surely, 2^{13008163424256} is an apocalyptic number.

13008163424256 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 13008163424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28924667291520).

13008163424256 is an abundant number, since it is smaller than the sum of its proper divisors (44841171158784).

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

13008163424256 is a wasteful number, since it uses less digits than its factorization.

13008163424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 13008163424256 in words is "thirteen trillion, eight billion, one hundred sixty-three million, four hundred twenty-four thousand, two hundred fifty-six".