18342144 has 108 divisors (see below), whose sum is σ = 55801200. Its totient is φ = 5778432.

The previous prime is 18342143. The next prime is 18342161. The reversal of 18342144 is 44124381.

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

It is not an unprimeable number, because it can be changed into a prime (18342143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43567 + ... + 43985.

Almost surely, 2^18342144 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 18342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900600).

18342144 is an abundant number, since it is smaller than the sum of its proper divisors (37459056).

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

18342144 is a wasteful number, since it uses less digits than its factorization.

18342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 18342144 is about 4282.7729335093. The cubic root of 18342144 is about 263.7242299418.

The spelling of 18342144 in words is "eighteen million, three hundred forty-two thousand, one hundred forty-four".