14881344 has 56 divisors (see below), whose sum is σ = 39684960. Its totient is φ = 4921344.

The previous prime is 14881327. The next prime is 14881381. The reversal of 14881344 is 44318841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34152 + ... + 34584.

It is an arithmetic number, because the mean of its divisors is an integer number (708660).

Almost surely, 2^14881344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

14881344 is an abundant number, since it is smaller than the sum of its proper divisors (24803616).

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

14881344 is a wasteful number, since it uses less digits than its factorization.

14881344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 14881344 is about 3857.6345083483. The cubic root of 14881344 is about 245.9691943711.

It can be divided in two parts, 14881 and 344, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 14881344 in words is "fourteen million, eight hundred eighty-one thousand, three hundred forty-four".