18114144 has 48 divisors (see below), whose sum is σ = 50057280. Its totient is φ = 5719680.

The previous prime is 18114101. The next prime is 18114149. The reversal of 18114144 is 44141181.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18114149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3142 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (1042860).

Almost surely, 2^18114144 is an apocalyptic number.

It is an amenable number.

18114144 is an abundant number, since it is smaller than the sum of its proper divisors (31943136).

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

18114144 is a wasteful number, since it uses less digits than its factorization.

18114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9955 counting only the distinct ones).

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

The square root of 18114144 is about 4256.0714279720. The cubic root of 18114144 is about 262.6269390588.

The spelling of 18114144 in words is "eighteen million, one hundred fourteen thousand, one hundred forty-four".