13586683968 has 672 divisors, whose sum is σ = 50165885952. Its totient is φ = 3450470400.

The previous prime is 13586683919. The next prime is 13586683969. The reversal of 13586683968 is 86938668531.

13586683968 is a `hidden beast` number, since 13 + 586 + 6 + 8 + 39 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13586683969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43407780 + ... + 43408092.

It is an arithmetic number, because the mean of its divisors is an integer number (74651616).

Almost surely, 2^13586683968 is an apocalyptic number.

13586683968 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 13586683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082942976).

13586683968 is an abundant number, since it is smaller than the sum of its proper divisors (36579201984).

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

13586683968 is a wasteful number, since it uses less digits than its factorization.

13586683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 13586683968 in words is "thirteen billion, five hundred eighty-six million, six hundred eighty-three thousand, nine hundred sixty-eight".