11844144 has 200 divisors, whose sum is σ = 39910640. Its totient is φ = 3359232.

The previous prime is 11844143. The next prime is 11844197. The reversal of 11844144 is 44144811.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (11844143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 320094 + ... + 320130.

Almost surely, 2^11844144 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 11844144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955320).

11844144 is an abundant number, since it is smaller than the sum of its proper divisors (28066496).

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

11844144 is a wasteful number, since it uses less digits than its factorization.

11844144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 11844144 is about 3441.5322169057. The cubic root of 11844144 is about 227.9473562669.

Adding to 11844144 its reverse (44144811), we get a palindrome (55988955).

The spelling of 11844144 in words is "eleven million, eight hundred forty-four thousand, one hundred forty-four".