11144 has 16 divisors (see below), whose sum is σ = 24000. Its totient is φ = 4752.

The previous prime is 11131. The next prime is 11149. The reversal of 11144 is 44111.

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

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 155.

It is an arithmetic number, because the mean of its divisors is an integer number (1500).

2¹¹¹⁴⁴ is an apocalyptic number.

11144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11144 is an abundant number, since it is smaller than the sum of its proper divisors (12856).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12000).

11144 is a wasteful number, since it uses less digits than its factorization.

11144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its digits is 16, while the sum is 11.

The square root of 11144 is about 105.5651457632. The cubic root of 11144 is about 22.3364268876.

Adding to 11144 its reverse (44111), we get a palindrome (55255).

It can be divided in two parts, 111 and 44, that multiplied together give a palindrome (4884).

The spelling of 11144 in words is "eleven thousand, one hundred forty-four", and thus it is an iban number.