14815056984 has 256 divisors, whose sum is σ = 47453306880. Its totient is φ = 3749276160.

The previous prime is 14815056967. The next prime is 14815056989. The reversal of 14815056984 is 48965051841.

It is a happy number.

14815056984 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 not an unprimeable number, because it can be changed into a prime (14815056989) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8597547 + ... + 8599269.

It is an arithmetic number, because the mean of its divisors is an integer number (185364480).

Almost surely, 2^14815056984 is an apocalyptic number.

14815056984 is a gapful number since it is divisible by the number (14) 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 14815056984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23726653440).

14815056984 is an abundant number, since it is smaller than the sum of its proper divisors (32638249896).

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

14815056984 is a wasteful number, since it uses less digits than its factorization.

14815056984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 14815056984 in words is "fourteen billion, eight hundred fifteen million, fifty-six thousand, nine hundred eighty-four".