12464144 has 80 divisors (see below), whose sum is σ = 30759936. Its totient is φ = 4752000.

The previous prime is 12464141. The next prime is 12464149. The reversal of 12464144 is 44146421.

12464144 = 62³ + 63³ + ... + 89³.

It is not an unprimeable number, because it can be changed into a prime (12464141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82469 + ... + 82619.

Almost surely, 2^12464144 is an apocalyptic number.

12464144 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 12464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379968).

12464144 is an abundant number, since it is smaller than the sum of its proper divisors (18295792).

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

12464144 is a wasteful number, since it uses less digits than its factorization.

12464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 12464144 is about 3530.4594601836. The cubic root of 12464144 is about 231.8573240861.

The spelling of 12464144 in words is "twelve million, four hundred sixty-four thousand, one hundred forty-four".