18246144 has 80 divisors (see below), whose sum is σ = 55585728. Its totient is φ = 5210112.

The previous prime is 18246127. The next prime is 18246149. The reversal of 18246144 is 44164281.

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 (18246149) 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, 9904 + ... + 11600.

Almost surely, 2^18246144 is an apocalyptic number.

18246144 is a gapful number since it is divisible by the number (14) 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 18246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27792864).

18246144 is an abundant number, since it is smaller than the sum of its proper divisors (37339584).

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

18246144 is an equidigital number, since it uses as much as digits as its factorization.

18246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1709 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 18246144 is about 4271.5505381536. The cubic root of 18246144 is about 263.2633273646.

The spelling of 18246144 in words is "eighteen million, two hundred forty-six thousand, one hundred forty-four".