14481264 has 120 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 4018560.

The previous prime is 14481223. The next prime is 14481277. The reversal of 14481264 is 46218441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110479 + ... + 110609.

Almost surely, 2^14481264 is an apocalyptic number.

14481264 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 14481264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

14481264 is an abundant number, since it is smaller than the sum of its proper divisors (30301584).

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

14481264 is a wasteful number, since it uses less digits than its factorization.

14481264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 14481264 is about 3805.4256003764. The cubic root of 14481264 is about 243.7448735279.

The spelling of 14481264 in words is "fourteen million, four hundred eighty-one thousand, two hundred sixty-four".