14449968 has 160 divisors (see below), whose sum is σ = 46663680. Its totient is φ = 4250880.

The previous prime is 14449931. The next prime is 14449997. The reversal of 14449968 is 86994441.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174055 + ... + 174137.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 2^14449968 is an apocalyptic number.

14449968 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 14449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23331840).

14449968 is an abundant number, since it is smaller than the sum of its proper divisors (32213712).

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

14449968 is a wasteful number, since it uses less digits than its factorization.

14449968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14449968 is about 3801.3113526782. The cubic root of 14449968 is about 243.5691581716.

The spelling of 14449968 in words is "fourteen million, four hundred forty-nine thousand, nine hundred sixty-eight".