14147066716800 has 384 divisors, whose sum is σ = 47312085225600. Its totient is φ = 3714781593600.

The previous prime is 14147066716771. The next prime is 14147066716919. The reversal of 14147066716800 is 861766074141.

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565033882 + ... + 565058918.

It is an arithmetic number, because the mean of its divisors is an integer number (123208555275).

Almost surely, 2^{14147066716800} is an apocalyptic number.

14147066716800 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 14147066716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656042612800).

14147066716800 is an abundant number, since it is smaller than the sum of its proper divisors (33165018508800).

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

14147066716800 is a wasteful number, since it uses less digits than its factorization.

14147066716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964 (or 25947 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 14147066716800 in words is "fourteen trillion, one hundred forty-seven billion, sixty-six million, seven hundred sixteen thousand, eight hundred".