14282071966800 has 960 divisors, whose sum is σ = 58762938931200. Its totient is φ = 3256099430400.

The previous prime is 14282071966733. The next prime is 14282071966801. The reversal of 14282071966800 is 866917028241.

It is a happy number.

14282071966800 is a `hidden beast` number, since 1 + 428 + 2 + 0 + 71 + 96 + 68 + 0 + 0 = 666.

14282071966800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14282071966801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4012943421 + ... + 4012946979.

It is an arithmetic number, because the mean of its divisors is an integer number (61211394720).

Almost surely, 2^{14282071966800} is an apocalyptic number.

14282071966800 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 14282071966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29381469465600).

14282071966800 is an abundant number, since it is smaller than the sum of its proper divisors (44480866964400).

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

14282071966800 is a wasteful number, since it uses less digits than its factorization.

14282071966800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 14282071966800 in words is "fourteen trillion, two hundred eighty-two billion, seventy-one million, nine hundred sixty-six thousand, eight hundred".