13982934632304 has 160 divisors (see below), whose sum is σ = 41501816928000. Its totient is φ = 4012174356480.

The previous prime is 13982934632263. The next prime is 13982934632311. The reversal of 13982934632304 is 40323643928931.

It is a super-3 number, since 3×13982934632304³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19194792 + ... + 19909944.

It is an arithmetic number, because the mean of its divisors is an integer number (259386355800).

Almost surely, 2^{13982934632304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982934632304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750908464000).

13982934632304 is an abundant number, since it is smaller than the sum of its proper divisors (27518882295696).

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

13982934632304 is a wasteful number, since it uses less digits than its factorization.

13982934632304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717143 (or 717137 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 57.

The spelling of 13982934632304 in words is "thirteen trillion, nine hundred eighty-two billion, nine hundred thirty-four million, six hundred thirty-two thousand, three hundred four".