11442144 has 48 divisors (see below), whose sum is σ = 34328448. Its totient is φ = 3268992.

The previous prime is 11442143. The next prime is 11442149. The reversal of 11442144 is 44124411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11442144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7842 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (715176).

Almost surely, 2^11442144 is an apocalyptic number.

11442144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11442144 is an abundant number, since it is smaller than the sum of its proper divisors (22886304).

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

11442144 is a wasteful number, since it uses less digits than its factorization.

11442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17047 (or 17039 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 11442144 is about 3382.6238336534. The cubic root of 11442144 is about 225.3387096119.

Adding to 11442144 its reverse (44124411), we get a palindrome (55566555).

The spelling of 11442144 in words is "eleven million, four hundred forty-two thousand, one hundred forty-four".