14380713568200 has 192 divisors, whose sum is σ = 51015078576000. Its totient is φ = 3282745098240.

The previous prime is 14380713568147. The next prime is 14380713568213. The reversal of 14380713568200 is 286531708341.

It is a super-2 number, since 2×14380713568200² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14380713568200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003546 + ... + 5456054.

It is an arithmetic number, because the mean of its divisors is an integer number (265703534250).

Almost surely, 2^{14380713568200} is an apocalyptic number.

14380713568200 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 14380713568200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25507539288000).

14380713568200 is an abundant number, since it is smaller than the sum of its proper divisors (36634365007800).

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

14380713568200 is a wasteful number, since it uses less digits than its factorization.

14380713568200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453304 (or 4453295 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 14380713568200 in words is "fourteen trillion, three hundred eighty billion, seven hundred thirteen million, five hundred sixty-eight thousand, two hundred".