14368300438800 has 720 divisors, whose sum is σ = 58434483953664. Its totient is φ = 2984284800000.

The previous prime is 14368300438783. The next prime is 14368300438873. The reversal of 14368300438800 is 883400386341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14368300438800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2193295525 + ... + 2193302075.

Almost surely, 2^{14368300438800} is an apocalyptic number.

14368300438800 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 14368300438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29217241976832).

14368300438800 is an abundant number, since it is smaller than the sum of its proper divisors (44066183514864).

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

14368300438800 is a wasteful number, since it uses less digits than its factorization.

14368300438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 14368300438800 in words is "fourteen trillion, three hundred sixty-eight billion, three hundred million, four hundred thirty-eight thousand, eight hundred".