13683413268 has 180 divisors, whose sum is σ = 42955178112. Its totient is φ = 3783296160.

The previous prime is 13683413251. The next prime is 13683413321. The reversal of 13683413268 is 86231438631.

13683413268 is a `hidden beast` number, since 136 + 83 + 413 + 26 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 478255 + ... + 506057.

Almost surely, 2^13683413268 is an apocalyptic number.

13683413268 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 13683413268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21477589056).

13683413268 is an abundant number, since it is smaller than the sum of its proper divisors (29271764844).

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

13683413268 is a wasteful number, since it uses less digits than its factorization.

13683413268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27864 (or 27846 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 13683413268 in words is "thirteen billion, six hundred eighty-three million, four hundred thirteen thousand, two hundred sixty-eight".