14983256800 has 144 divisors (see below), whose sum is σ = 37302612480. Its totient is φ = 5875752960.

The previous prime is 14983256779. The next prime is 14983256837. The reversal of 14983256800 is 865238941.

14983256800 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 23 ways as a sum of consecutive naturals, for example, 9041572 + ... + 9043228.

It is an arithmetic number, because the mean of its divisors is an integer number (259045920).

Almost surely, 2^14983256800 is an apocalyptic number.

14983256800 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 14983256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651306240).

14983256800 is an abundant number, since it is smaller than the sum of its proper divisors (22319355680).

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

14983256800 is a wasteful number, since it uses less digits than its factorization.

14983256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 14983256800 in words is "fourteen billion, nine hundred eighty-three million, two hundred fifty-six thousand, eight hundred".