218641106112 has 448 divisors, whose sum is σ = 722182293504. Its totient is φ = 57354485760.

The previous prime is 218641106111. The next prime is 218641106113. The reversal of 218641106112 is 211601146812.

It is an interprime number because it is at equal distance from previous prime (218641106111) and next prime (218641106113).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (218641106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164762793 + ... + 164764119.

It is an arithmetic number, because the mean of its divisors is an integer number (1612014048).

Almost surely, 2^218641106112 is an apocalyptic number.

218641106112 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 218641106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361091146752).

218641106112 is an abundant number, since it is smaller than the sum of its proper divisors (503541187392).

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

218641106112 is a wasteful number, since it uses less digits than its factorization.

218641106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 218641106112 in words is "two hundred eighteen billion, six hundred forty-one million, one hundred six thousand, one hundred twelve".