13685317433856 has 480 divisors, whose sum is σ = 41738119517952. Its totient is φ = 4308204257280.

The previous prime is 13685317433791. The next prime is 13685317433861. The reversal of 13685317433856 is 65833471358631.

13685317433856 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 531 + 7 + 43 + 3 + 8 + 56 = 666.

13685317433856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13685317433793 and 13685317433802.

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, 4071797616 + ... + 4071800976.

Almost surely, 2^{13685317433856} is an apocalyptic number.

13685317433856 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 13685317433856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20869059758976).

13685317433856 is an abundant number, since it is smaller than the sum of its proper divisors (28052802084096).

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

13685317433856 is a wasteful number, since it uses less digits than its factorization.

13685317433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3865 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 13685317433856 in words is "thirteen trillion, six hundred eighty-five billion, three hundred seventeen million, four hundred thirty-three thousand, eight hundred fifty-six".