13074856704 has 720 divisors, whose sum is σ = 49445014080. Its totient is φ = 3364208640.

The previous prime is 13074856703. The next prime is 13074856721. The reversal of 13074856704 is 40765847031.

13074856704 is a `hidden beast` number, since 13 + 0 + 74 + 8 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13074856704.

It is not an unprimeable number, because it can be changed into a prime (13074856703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318898924 + ... + 318898964.

Almost surely, 2^13074856704 is an apocalyptic number.

13074856704 is a gapful number since it is divisible by the number (14) 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 13074856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722507040).

13074856704 is an abundant number, since it is smaller than the sum of its proper divisors (36370157376).

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

13074856704 is an frugal number, since it uses more digits than its factorization.

13074856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13074856704 in words is "thirteen billion, seventy-four million, eight hundred fifty-six thousand, seven hundred four".