13979669472 has 288 divisors, whose sum is σ = 43589145600. Its totient is φ = 4400137728.

The previous prime is 13979669447. The next prime is 13979669477. The reversal of 13979669472 is 27496697931.

13979669472 is a `hidden beast` number, since 1 + 39 + 79 + 6 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13979669477) 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, 10598029 + ... + 10599347.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 2^13979669472 is an apocalyptic number.

13979669472 is a gapful number since it is divisible by the number (12) 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 13979669472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794572800).

13979669472 is an abundant number, since it is smaller than the sum of its proper divisors (29609476128).

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

13979669472 is a wasteful number, since it uses less digits than its factorization.

13979669472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1400 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 13979669472 in words is "thirteen billion, nine hundred seventy-nine million, six hundred sixty-nine thousand, four hundred seventy-two".