218561112 has 256 divisors, whose sum is σ = 802483200. Its totient is φ = 53360640.

The previous prime is 218561093. The next prime is 218561117. The reversal of 218561112 is 211165812.

218561112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218561117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282358 + ... + 283130.

It is an arithmetic number, because the mean of its divisors is an integer number (3134700).

Almost surely, 2^218561112 is an apocalyptic number.

218561112 is a gapful number since it is divisible by the number (22) 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 218561112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401241600).

218561112 is an abundant number, since it is smaller than the sum of its proper divisors (583922088).

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

218561112 is a wasteful number, since it uses less digits than its factorization.

218561112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 218561112 is about 14783.8124988110. The cubic root of 218561112 is about 602.3620886921.

The spelling of 218561112 in words is "two hundred eighteen million, five hundred sixty-one thousand, one hundred twelve".