13982339448000 has 3584 divisors, whose sum is σ = 67542728048640. Its totient is φ = 2747105280000.

The previous prime is 13982339447987. The next prime is 13982339448023. The reversal of 13982339448000 is 84493328931.

13982339448000 is a `hidden beast` number, since 139 + 8 + 23 + 3 + 9 + 4 + 480 + 0 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 24232823712 + ... + 24232824288.

Almost surely, 2^{13982339448000} is an apocalyptic number.

13982339448000 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 13982339448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33771364024320).

13982339448000 is an abundant number, since it is smaller than the sum of its proper divisors (53560388600640).

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

13982339448000 is a wasteful number, since it uses less digits than its factorization.

13982339448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 13982339448000 in words is "thirteen trillion, nine hundred eighty-two billion, three hundred thirty-nine million, four hundred forty-eight thousand".