13685245056 has 256 divisors, whose sum is σ = 47411232000. Its totient is φ = 3804143616.

The previous prime is 13685245037. The next prime is 13685245127. The reversal of 13685245056 is 65054258631.

13685245056 is a `hidden beast` number, since 13 + 68 + 524 + 5 + 0 + 56 = 666.

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, 887460 + ... + 902748.

It is an arithmetic number, because the mean of its divisors is an integer number (185200125).

Almost surely, 2^13685245056 is an apocalyptic number.

13685245056 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 13685245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705616000).

13685245056 is an abundant number, since it is smaller than the sum of its proper divisors (33725986944).

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

13685245056 is a wasteful number, since it uses less digits than its factorization.

13685245056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15356 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 13685245056 in words is "thirteen billion, six hundred eighty-five million, two hundred forty-five thousand, fifty-six".