18144192 has 112 divisors (see below), whose sum is σ = 53547264. Its totient is φ = 5420800.

The previous prime is 18144173. The next prime is 18144193. The reversal of 18144192 is 29144181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18144193) 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, 255517 + ... + 255587.

Almost surely, 2^18144192 is an apocalyptic number.

18144192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773632).

18144192 is an abundant number, since it is smaller than the sum of its proper divisors (35403072).

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

18144192 is an equidigital number, since it uses as much as digits as its factorization.

18144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 18144192 is about 4259.5999812189. The cubic root of 18144192 is about 262.7720752724.

It can be divided in two parts, 18144 and 192, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 18144192 in words is "eighteen million, one hundred forty-four thousand, one hundred ninety-two".