11514144 has 96 divisors (see below), whose sum is σ = 32223744. Its totient is φ = 3594240.

The previous prime is 11514143. The next prime is 11514169. The reversal of 11514144 is 44141511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11514144.

It is not an unprimeable number, because it can be changed into a prime (11514143) 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 15 ways as a sum of consecutive naturals, for example, 157692 + ... + 157764.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 2^11514144 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 11514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111872).

11514144 is an abundant number, since it is smaller than the sum of its proper divisors (20709600).

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

11514144 is a wasteful number, since it uses less digits than its factorization.

11514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 11514144 is about 3393.2497697635. The cubic root of 11514144 is about 225.8103716467.

Adding to 11514144 its reverse (44141511), we get a palindrome (55655655).

The spelling of 11514144 in words is "eleven million, five hundred fourteen thousand, one hundred forty-four".