18282144 has 48 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 5928192.

The previous prime is 18282139. The next prime is 18282149. The reversal of 18282144 is 44128281.

It is an interprime number because it is at equal distance from previous prime (18282139) and next prime (18282149).

It is a tau number, because it is divible by the number of its divisors (48).

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 (18282149) 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, 979 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^18282144 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 18282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

18282144 is an abundant number, since it is smaller than the sum of its proper divisors (31015104).

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

18282144 is a wasteful number, since it uses less digits than its factorization.

18282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5189 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 18282144 is about 4275.7623881596. The cubic root of 18282144 is about 263.4363548552.

The spelling of 18282144 in words is "eighteen million, two hundred eighty-two thousand, one hundred forty-four".