18558144 has 168 divisors, whose sum is σ = 60624720. Its totient is φ = 5376000.

The previous prime is 18558139. The next prime is 18558149. The reversal of 18558144 is 44185581.

It is an interprime number because it is at equal distance from previous prime (18558139) and next prime (18558149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18558099 and 18558108.

It is not an unprimeable number, because it can be changed into a prime (18558149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183694 + ... + 183794.

Almost surely, 2^18558144 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 18558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30312360).

18558144 is an abundant number, since it is smaller than the sum of its proper divisors (42066576).

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

18558144 is a wasteful number, since it uses less digits than its factorization.

18558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 18558144 is about 4307.9164337299. The cubic root of 18558144 is about 264.7554121523.

It can be divided in two parts, 1855 and 8144, that added together give a palindrome (9999).

The spelling of 18558144 in words is "eighteen million, five hundred fifty-eight thousand, one hundred forty-four".