13051456704 has 336 divisors, whose sum is σ = 44231320224. Its totient is φ = 3627417600.

The previous prime is 13051456679. The next prime is 13051456787. The reversal of 13051456704 is 40765415031.

13051456704 is a `hidden beast` number, since 130 + 5 + 1 + 456 + 70 + 4 = 666.

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

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, 15896614 + ... + 15897434.

It is an arithmetic number, because the mean of its divisors is an integer number (131640834).

Almost surely, 2^13051456704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13051456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115660112).

13051456704 is an abundant number, since it is smaller than the sum of its proper divisors (31179863520).

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

13051456704 is a wasteful number, since it uses less digits than its factorization.

13051456704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13051456704 in words is "thirteen billion, fifty-one million, four hundred fifty-six thousand, seven hundred four".