13988843856000 has 2560 divisors, whose sum is σ = 59799507768000. Its totient is φ = 3240854323200.

The previous prime is 13988843855999. The next prime is 13988843856077. The reversal of 13988843856000 is 65834888931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13988843856000 is a `hidden beast` number, since 1 + 39 + 8 + 8 + 8 + 4 + 38 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 13969593958464 + 19249897536 = 3737592^2 + 138744^2 .

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 822873167992 + ... + 822873168008.

Almost surely, 2^{13988843856000} is an apocalyptic number.

13988843856000 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 13988843856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29899753884000).

13988843856000 is an abundant number, since it is smaller than the sum of its proper divisors (45810663912000).

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

13988843856000 is an frugal number, since it uses more digits than its factorization.

13988843856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 13988843856000 in words is "thirteen trillion, nine hundred eighty-eight billion, eight hundred forty-three million, eight hundred fifty-six thousand".