14368128000 has 704 divisors, whose sum is σ = 52973346816. Its totient is φ = 3440640000.

The previous prime is 14368127951. The next prime is 14368128001. The reversal of 14368128000 is 82186341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14368128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202367965 + ... + 202368035.

Almost surely, 2^14368128000 is an apocalyptic number.

14368128000 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 14368128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26486673408).

14368128000 is an abundant number, since it is smaller than the sum of its proper divisors (38605218816).

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

14368128000 is a wasteful number, since it uses less digits than its factorization.

14368128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 14368128000 in words is "fourteen billion, three hundred sixty-eight million, one hundred twenty-eight thousand".