13844325984 has 96 divisors (see below), whose sum is σ = 38391615360. Its totient is φ = 4356172800.

The previous prime is 13844325961. The next prime is 13844326019. The reversal of 13844325984 is 48952344831.

13844325984 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499039 + ... + 526049.

It is an arithmetic number, because the mean of its divisors is an integer number (399912660).

Almost surely, 2^13844325984 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 13844325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195807680).

13844325984 is an abundant number, since it is smaller than the sum of its proper divisors (24547289376).

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

13844325984 is a wasteful number, since it uses less digits than its factorization.

13844325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27324 (or 27316 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 13844325984 in words is "thirteen billion, eight hundred forty-four million, three hundred twenty-five thousand, nine hundred eighty-four".