14145196800 has 864 divisors, whose sum is σ = 58250271744. Its totient is φ = 2949120000.

The previous prime is 14145196799. The next prime is 14145196831. The reversal of 14145196800 is 869154141.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93676725 + ... + 93676875.

It is an arithmetic number, because the mean of its divisors is an integer number (67419296).

Almost surely, 2^14145196800 is an apocalyptic number.

14145196800 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 14145196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29125135872).

14145196800 is an abundant number, since it is smaller than the sum of its proper divisors (44105074944).

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

14145196800 is a wasteful number, since it uses less digits than its factorization.

14145196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 14145196800 in words is "fourteen billion, one hundred forty-five million, one hundred ninety-six thousand, eight hundred".