218409561216 has 1920 divisors, whose sum is σ = 926923694400. Its totient is φ = 50582568960.

The previous prime is 218409561193. The next prime is 218409561239. The reversal of 218409561216 is 612165904812.

218409561216 is a `hidden beast` number, since 2 + 1 + 84 + 0 + 9 + 561 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (218409561193) and next prime (218409561239).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11495240055 + ... + 11495240073.

Almost surely, 2^218409561216 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 218409561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463461847200).

218409561216 is an abundant number, since it is smaller than the sum of its proper divisors (708514133184).

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

218409561216 is a wasteful number, since it uses less digits than its factorization.

218409561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 218409561216 in words is "two hundred eighteen billion, four hundred nine million, five hundred sixty-one thousand, two hundred sixteen".