14821338560 has 224 divisors, whose sum is σ = 42030213120. Its totient is φ = 4870656000.

The previous prime is 14821338551. The next prime is 14821338577. The reversal of 14821338560 is 6583312841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9808205 + ... + 9809715.

It is an arithmetic number, because the mean of its divisors is an integer number (187634880).

Almost surely, 2^14821338560 is an apocalyptic number.

14821338560 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 14821338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015106560).

14821338560 is an abundant number, since it is smaller than the sum of its proper divisors (27208874560).

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

14821338560 is a wasteful number, since it uses less digits than its factorization.

14821338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 14821338560 in words is "fourteen billion, eight hundred twenty-one million, three hundred thirty-eight thousand, five hundred sixty".