13676085696 has 336 divisors, whose sum is σ = 47151340800. Its totient is φ = 3415965696.

The previous prime is 13676085667. The next prime is 13676085697. The reversal of 13676085696 is 69658067631.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676085697) 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 47 ways as a sum of consecutive naturals, for example, 4314000 + ... + 4317168.

Almost surely, 2^13676085696 is an apocalyptic number.

13676085696 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 13676085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23575670400).

13676085696 is an abundant number, since it is smaller than the sum of its proper divisors (33475255104).

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

13676085696 is a wasteful number, since it uses less digits than its factorization.

13676085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 13676085696 in words is "thirteen billion, six hundred seventy-six million, eighty-five thousand, six hundred ninety-six".