13966339638720 has 1792 divisors, whose sum is σ = 55017232957440. Its totient is φ = 2935200153600.

The previous prime is 13966339638683. The next prime is 13966339638763. The reversal of 13966339638720 is 2783693366931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59941371724 + ... + 59941371956.

Almost surely, 2^{13966339638720} is an apocalyptic number.

13966339638720 is a gapful number since it is divisible by the number (10) 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 13966339638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27508616478720).

13966339638720 is an abundant number, since it is smaller than the sum of its proper divisors (41050893318720).

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

13966339638720 is a wasteful number, since it uses less digits than its factorization.

13966339638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 66.

The spelling of 13966339638720 in words is "thirteen trillion, nine hundred sixty-six billion, three hundred thirty-nine million, six hundred thirty-eight thousand, seven hundred twenty".