14493916800 has 288 divisors, whose sum is σ = 56420451360. Its totient is φ = 3513600000.

The previous prime is 14493916799. The next prime is 14493916841. The reversal of 14493916800 is 861939441.

14493916800 is a `hidden beast` number, since 14 + 493 + 91 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 293925 + ... + 339675.

It is an arithmetic number, because the mean of its divisors is an integer number (195904345).

Almost surely, 2^14493916800 is an apocalyptic number.

14493916800 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 14493916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210225680).

14493916800 is an abundant number, since it is smaller than the sum of its proper divisors (41926534560).

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

14493916800 is a wasteful number, since it uses less digits than its factorization.

14493916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45792 (or 45772 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14493916800 in words is "fourteen billion, four hundred ninety-three million, nine hundred sixteen thousand, eight hundred".