14338464 has 96 divisors (see below), whose sum is σ = 45319680. Its totient is φ = 3877632.

The previous prime is 14338459. The next prime is 14338481. The reversal of 14338464 is 46483341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12207 + ... + 13329.

It is an arithmetic number, because the mean of its divisors is an integer number (472080).

Almost surely, 2^14338464 is an apocalyptic number.

14338464 is a gapful number since it is divisible by the number (14) 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 14338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22659840).

14338464 is an abundant number, since it is smaller than the sum of its proper divisors (30981216).

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

14338464 is a wasteful number, since it uses less digits than its factorization.

14338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 14338464 is about 3786.6164315917. The cubic root of 14338464 is about 242.9410346522.

The spelling of 14338464 in words is "fourteen million, three hundred thirty-eight thousand, four hundred sixty-four".