14449010688 has 480 divisors, whose sum is σ = 51563191680. Its totient is φ = 3941498880.

The previous prime is 14449010687. The next prime is 14449010699. The reversal of 14449010688 is 88601094441.

14449010688 is a `hidden beast` number, since 144 + 490 + 10 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14449010687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26707698 + ... + 26708238.

It is an arithmetic number, because the mean of its divisors is an integer number (107423316).

Almost surely, 2^14449010688 is an apocalyptic number.

14449010688 is a gapful number since it is divisible by the number (18) 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 14449010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25781595840).

14449010688 is an abundant number, since it is smaller than the sum of its proper divisors (37114180992).

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

14449010688 is an equidigital number, since it uses as much as digits as its factorization.

14449010688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14449010688 in words is "fourteen billion, four hundred forty-nine million, ten thousand, six hundred eighty-eight".