11418144 has 48 divisors (see below), whose sum is σ = 30354912. Its totient is φ = 3757568.

The previous prime is 11418119. The next prime is 11418157. The reversal of 11418144 is 44181411.

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 (24).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7252 + ... + 8684.

It is an arithmetic number, because the mean of its divisors is an integer number (632394).

Almost surely, 2^11418144 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 11418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177456).

11418144 is an abundant number, since it is smaller than the sum of its proper divisors (18936768).

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

11418144 is a wasteful number, since it uses less digits than its factorization.

11418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1521 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 11418144 is about 3379.0744294851. The cubic root of 11418144 is about 225.1810493388.

Adding to 11418144 its reverse (44181411), we get a palindrome (55599555).

It can be divided in two parts, 11 and 418144, that added together give a triangular number (418155 = T₉₁₄).

The spelling of 11418144 in words is "eleven million, four hundred eighteen thousand, one hundred forty-four".