14449568000 has 288 divisors, whose sum is σ = 41462523648. Its totient is φ = 4915200000.

The previous prime is 14449567973. The next prime is 14449568011. The reversal of 14449568000 is 86594441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56223872 + ... + 56224128.

It is an arithmetic number, because the mean of its divisors is an integer number (143967096).

Almost surely, 2^14449568000 is an apocalyptic number.

14449568000 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 14449568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20731261824).

14449568000 is an abundant number, since it is smaller than the sum of its proper divisors (27012955648).

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

14449568000 is an equidigital number, since it uses as much as digits as its factorization.

14449568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 14449568000 in words is "fourteen billion, four hundred forty-nine million, five hundred sixty-eight thousand".