14251983648 has 288 divisors, whose sum is σ = 45763159680. Its totient is φ = 3799756800.

The previous prime is 14251983631. The next prime is 14251983659. The reversal of 14251983648 is 84638915241.

It is a self number, because there is not a number n which added to its sum of digits gives 14251983648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18727588 + ... + 18728348.

It is an arithmetic number, because the mean of its divisors is an integer number (158899860).

Almost surely, 2^14251983648 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 14251983648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881579840).

14251983648 is an abundant number, since it is smaller than the sum of its proper divisors (31511176032).

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

14251983648 is a wasteful number, since it uses less digits than its factorization.

14251983648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 833 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 14251983648 in words is "fourteen billion, two hundred fifty-one million, nine hundred eighty-three thousand, six hundred forty-eight".