11258144 has 48 divisors (see below), whose sum is σ = 23133600. Its totient is φ = 5389824.

The previous prime is 11258141. The next prime is 11258161. The reversal of 11258144 is 44185211.

It is not an unprimeable number, because it can be changed into a prime (11258141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126452 + ... + 126540.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 2^11258144 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 11258144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11566800).

11258144 is an abundant number, since it is smaller than the sum of its proper divisors (11875456).

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

11258144 is an equidigital number, since it uses as much as digits as its factorization.

11258144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 11258144 is about 3355.3157824563. The cubic root of 11258144 is about 224.1242932642.

The spelling of 11258144 in words is "eleven million, two hundred fifty-eight thousand, one hundred forty-four".