14456268 has 72 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 4556160.

The previous prime is 14456251. The next prime is 14456291. The reversal of 14456268 is 86265441.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 63571 + ... + 63797.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^14456268 is an apocalyptic number.

14456268 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 14456268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

14456268 is an abundant number, since it is smaller than the sum of its proper divisors (24135012).

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

14456268 is a wasteful number, since it uses less digits than its factorization.

14456268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 14456268 is about 3802.1399237798. The cubic root of 14456268 is about 243.6045507008.

The spelling of 14456268 in words is "fourteen million, four hundred fifty-six thousand, two hundred sixty-eight".