13656674304 has 832 divisors, whose sum is σ = 52841779200. Its totient is φ = 3386769408.

The previous prime is 13656674303. The next prime is 13656674351. The reversal of 13656674304 is 40347665631.

13656674304 is a `hidden beast` number, since 13 + 6 + 566 + 74 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a self number, because there is not a number n which added to its sum of digits gives 13656674304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656674303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231469027 + ... + 231469085.

Almost surely, 2^13656674304 is an apocalyptic number.

13656674304 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 13656674304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26420889600).

13656674304 is an abundant number, since it is smaller than the sum of its proper divisors (39185104896).

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

13656674304 is a wasteful number, since it uses less digits than its factorization.

13656674304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 13656674304 in words is "thirteen billion, six hundred fifty-six million, six hundred seventy-four thousand, three hundred four".