13685942304 has 192 divisors, whose sum is σ = 41371545600. Its totient is φ = 4398541056.

The previous prime is 13685942273. The next prime is 13685942329. The reversal of 13685942304 is 40324958631.

13685942304 is a `hidden beast` number, since 1 + 36 + 8 + 594 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13685942304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2932677 + ... + 2937339.

It is an arithmetic number, because the mean of its divisors is an integer number (215476800).

Almost surely, 2^13685942304 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 13685942304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685772800).

13685942304 is an abundant number, since it is smaller than the sum of its proper divisors (27685603296).

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

13685942304 is a wasteful number, since it uses less digits than its factorization.

13685942304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13685942304 in words is "thirteen billion, six hundred eighty-five million, nine hundred forty-two thousand, three hundred four".