14343868000 has 288 divisors, whose sum is σ = 44730530208. Its totient is φ = 4470144000.

The previous prime is 14343867949. The next prime is 14343868043. The reversal of 14343868000 is 86834341.

14343868000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2152674 + ... + 2159326.

It is an arithmetic number, because the mean of its divisors is an integer number (155314341).

Almost surely, 2^14343868000 is an apocalyptic number.

14343868000 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 14343868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365265104).

14343868000 is an abundant number, since it is smaller than the sum of its proper divisors (30386662208).

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

14343868000 is a wasteful number, since it uses less digits than its factorization.

14343868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 14343868000 in words is "fourteen billion, three hundred forty-three million, eight hundred sixty-eight thousand".