11456144 has 40 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 4877568.

The previous prime is 11456117. The next prime is 11456153. The reversal of 11456144 is 44165411.

11456144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 25877 + ... + 26315.

It is an arithmetic number, because the mean of its divisors is an integer number (638352).

Almost surely, 2^11456144 is an apocalyptic number.

11456144 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 11456144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

11456144 is an abundant number, since it is smaller than the sum of its proper divisors (14077936).

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

11456144 is a wasteful number, since it uses less digits than its factorization.

11456144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 11456144 is about 3384.6926005178. The cubic root of 11456144 is about 225.4305763154.

The spelling of 11456144 in words is "eleven million, four hundred fifty-six thousand, one hundred forty-four".