13979728672 has 144 divisors (see below), whose sum is σ = 34894685952. Its totient is φ = 5394954240.

The previous prime is 13979728657. The next prime is 13979728687. The reversal of 13979728672 is 27682797931.

It is an interprime number because it is at equal distance from previous prime (13979728657) and next prime (13979728687).

It is a self number, because there is not a number n which added to its sum of digits gives 13979728672.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1547593 + ... + 1556599.

It is an arithmetic number, because the mean of its divisors is an integer number (242324208).

Almost surely, 2^13979728672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13979728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447342976).

13979728672 is an abundant number, since it is smaller than the sum of its proper divisors (20914957280).

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

13979728672 is a wasteful number, since it uses less digits than its factorization.

13979728672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9091 (or 9070 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 61.

The spelling of 13979728672 in words is "thirteen billion, nine hundred seventy-nine million, seven hundred twenty-eight thousand, six hundred seventy-two".