13884590304 has 288 divisors, whose sum is σ = 45075139200. Its totient is φ = 4022968320.

The previous prime is 13884590303. The next prime is 13884590471. The reversal of 13884590304 is 40309548831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13884590304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13884590303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4450057 + ... + 4453175.

It is an arithmetic number, because the mean of its divisors is an integer number (156510900).

Almost surely, 2^13884590304 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 13884590304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

13884590304 is an abundant number, since it is smaller than the sum of its proper divisors (31190548896).

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

13884590304 is a wasteful number, since it uses less digits than its factorization.

13884590304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13884590304 in words is "thirteen billion, eight hundred eighty-four million, five hundred ninety thousand, three hundred four".