14844025728 has 768 divisors, whose sum is σ = 56137536000. Its totient is φ = 3662807040.

The previous prime is 14844025681. The next prime is 14844025733. The reversal of 14844025728 is 82752044841.

14844025728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 106791483 + ... + 106791621.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 2^14844025728 is an apocalyptic number.

14844025728 is a gapful number since it is divisible by the number (18) 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 14844025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768000).

14844025728 is an abundant number, since it is smaller than the sum of its proper divisors (41293510272).

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

14844025728 is a wasteful number, since it uses less digits than its factorization.

14844025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 14844025728 in words is "fourteen billion, eight hundred forty-four million, twenty-five thousand, seven hundred twenty-eight".