13936748844672 has 768 divisors, whose sum is σ = 45802214640000. Its totient is φ = 4201112272896.

The previous prime is 13936748844659. The next prime is 13936748844713. The reversal of 13936748844672 is 27644884763931.

13936748844672 is a `hidden beast` number, since 1 + 3 + 9 + 36 + 7 + 4 + 88 + 446 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13936748844672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1525304488 + ... + 1525313624.

Almost surely, 2^{13936748844672} is an apocalyptic number.

13936748844672 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 13936748844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22901107320000).

13936748844672 is an abundant number, since it is smaller than the sum of its proper divisors (31865465795328).

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

13936748844672 is an equidigital number, since it uses as much as digits as its factorization.

13936748844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303 (or 9279 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 13936748844672 in words is "thirteen trillion, nine hundred thirty-six billion, seven hundred forty-eight million, eight hundred forty-four thousand, six hundred seventy-two".