13996452093120 has 1344 divisors, whose sum is σ = 61410033054720. Its totient is φ = 2937411993600.

The previous prime is 13996452093053. The next prime is 13996452093131. The reversal of 13996452093120 is 2139025469931.

13996452093120 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 6 + 4 + 520 + 93 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 716617755 + ... + 716637285.

It is an arithmetic number, because the mean of its divisors is an integer number (45691988880).

Almost surely, 2^{13996452093120} is an apocalyptic number.

13996452093120 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 13996452093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705016527360).

13996452093120 is an abundant number, since it is smaller than the sum of its proper divisors (47413580961600).

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

13996452093120 is a wasteful number, since it uses less digits than its factorization.

13996452093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19639 (or 19606 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 13996452093120 in words is "thirteen trillion, nine hundred ninety-six billion, four hundred fifty-two million, ninety-three thousand, one hundred twenty".