14872824960 has 384 divisors, whose sum is σ = 55674864000. Its totient is φ = 3367010304.

The previous prime is 14872824947. The next prime is 14872824971. The reversal of 14872824960 is 6942827841.

14872824960 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 (384).

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 47 ways as a sum of consecutive naturals, for example, 10630341 + ... + 10631739.

It is an arithmetic number, because the mean of its divisors is an integer number (144986625).

Almost surely, 2^14872824960 is an apocalyptic number.

14872824960 is a gapful number since it is divisible by the number (10) 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 14872824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27837432000).

14872824960 is an abundant number, since it is smaller than the sum of its proper divisors (40802039040).

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

14872824960 is a wasteful number, since it uses less digits than its factorization.

14872824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 14872824960 in words is "fourteen billion, eight hundred seventy-two million, eight hundred twenty-four thousand, nine hundred sixty".