218444112 has 60 divisors (see below), whose sum is σ = 613320864. Its totient is φ = 72578880.

The previous prime is 218444081. The next prime is 218444119. The reversal of 218444112 is 211444812.

218444112 is a `hidden beast` number, since 218 + 4 + 441 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218444119) 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, 45373 + ... + 49955.

Almost surely, 2^218444112 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 218444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306660432).

218444112 is an abundant number, since it is smaller than the sum of its proper divisors (394876752).

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

218444112 is a wasteful number, since it uses less digits than its factorization.

218444112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4919 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 218444112 is about 14779.8549383950. The cubic root of 218444112 is about 602.2545841391.

Adding to 218444112 its reverse (211444812), we get a palindrome (429888924).

The spelling of 218444112 in words is "two hundred eighteen million, four hundred forty-four thousand, one hundred twelve".