13982972798592 has 1152 divisors, whose sum is σ = 50367017376000. Its totient is φ = 3720501227520.

The previous prime is 13982972798549. The next prime is 13982972798593. The reversal of 13982972798592 is 29589727928931.

13982972798592 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 297 + 279 + 8 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982972798593) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8701289053 + ... + 8701290659.

It is an arithmetic number, because the mean of its divisors is an integer number (43721369250).

Almost surely, 2^{13982972798592} is an apocalyptic number.

13982972798592 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 13982972798592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25183508688000).

13982972798592 is an abundant number, since it is smaller than the sum of its proper divisors (36384044577408).

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

13982972798592 is a wasteful number, since it uses less digits than its factorization.

13982972798592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1699 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 81.

The spelling of 13982972798592 in words is "thirteen trillion, nine hundred eighty-two billion, nine hundred seventy-two million, seven hundred ninety-eight thousand, five hundred ninety-two".