13708112389664 has 384 divisors, whose sum is σ = 35751146618880. Its totient is φ = 5012272742400.

The previous prime is 13708112389589. The next prime is 13708112389681. The reversal of 13708112389664 is 46698321180731.

13708112389664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5238100484 + ... + 5238103100.

It is an arithmetic number, because the mean of its divisors is an integer number (93101944320).

Almost surely, 2^{13708112389664} is an apocalyptic number.

13708112389664 is a gapful number since it is divisible by the number (14) 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 13708112389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17875573309440).

13708112389664 is an abundant number, since it is smaller than the sum of its proper divisors (22043034229216).

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

13708112389664 is a wasteful number, since it uses less digits than its factorization.

13708112389664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 59.

The spelling of 13708112389664 in words is "thirteen trillion, seven hundred eight billion, one hundred twelve million, three hundred eighty-nine thousand, six hundred sixty-four".