14287368000 has 224 divisors, whose sum is σ = 47311056000. Its totient is φ = 3799142400.

The previous prime is 14287367971. The next prime is 14287368001. The reversal of 14287368000 is 86378241.

It is a self number, because there is not a number n which added to its sum of digits gives 14287368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11975404 + ... + 11976596.

Almost surely, 2^14287368000 is an apocalyptic number.

14287368000 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 14287368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23655528000).

14287368000 is an abundant number, since it is smaller than the sum of its proper divisors (33023688000).

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

14287368000 is a wasteful number, since it uses less digits than its factorization.

14287368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 14287368000 in words is "fourteen billion, two hundred eighty-seven million, three hundred sixty-eight thousand".