13686807168 has 640 divisors, whose sum is σ = 46830484800. Its totient is φ = 3941498880.

The previous prime is 13686807089. The next prime is 13686807181. The reversal of 13686807168 is 86170868631.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204280671 + ... + 204280737.

Almost surely, 2^13686807168 is an apocalyptic number.

13686807168 is a gapful number since it is divisible by the number (18) 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 13686807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23415242400).

13686807168 is an abundant number, since it is smaller than the sum of its proper divisors (33143677632).

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

13686807168 is a wasteful number, since it uses less digits than its factorization.

13686807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 13686807168 in words is "thirteen billion, six hundred eighty-six million, eight hundred seven thousand, one hundred sixty-eight".