13728397696 has 128 divisors (see below), whose sum is σ = 31122403200. Its totient is φ = 5986541568.

The previous prime is 13728397687. The next prime is 13728397703. The reversal of 13728397696 is 69679382731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265006 + ... + 2271058.

It is an arithmetic number, because the mean of its divisors is an integer number (243143775).

Almost surely, 2^13728397696 is an apocalyptic number.

13728397696 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 13728397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561201600).

13728397696 is an abundant number, since it is smaller than the sum of its proper divisors (17394005504).

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

13728397696 is a wasteful number, since it uses less digits than its factorization.

13728397696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6144 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 61.

The spelling of 13728397696 in words is "thirteen billion, seven hundred twenty-eight million, three hundred ninety-seven thousand, six hundred ninety-six".