13982240563200 has 2688 divisors, whose sum is σ = 65018145239040. Its totient is φ = 2866544640000.

The previous prime is 13982240563169. The next prime is 13982240563229. The reversal of 13982240563200 is 236504228931.

13982240563200 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 2 + 4 + 0 + 5 + 632 + 0 + 0 = 666.

13982240563200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 18618162825 + ... + 18618163575.

It is an arithmetic number, because the mean of its divisors is an integer number (24188298080).

Almost surely, 2^{13982240563200} is an apocalyptic number.

13982240563200 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 13982240563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32509072619520).

13982240563200 is an abundant number, since it is smaller than the sum of its proper divisors (51035904675840).

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

13982240563200 is a wasteful number, since it uses less digits than its factorization.

13982240563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13982240563200 in words is "thirteen trillion, nine hundred eighty-two billion, two hundred forty million, five hundred sixty-three thousand, two hundred".