218664466812 has 192 divisors, whose sum is σ = 673444800000. Its totient is φ = 60609669120.

The previous prime is 218664466771. The next prime is 218664466817.

218664466812 is a `hidden beast` number, since 2 + 186 + 6 + 446 + 6 + 8 + 12 = 666.

218664466812 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218664466817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487564 + ... + 821612.

It is an arithmetic number, because the mean of its divisors is an integer number (3507525000).

Almost surely, 2^218664466812 is an apocalyptic number.

218664466812 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 218664466812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336722400000).

218664466812 is an abundant number, since it is smaller than the sum of its proper divisors (454780333188).

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

218664466812 is a wasteful number, since it uses less digits than its factorization.

218664466812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334121 (or 334113 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 218664466812 in words is "two hundred eighteen billion, six hundred sixty-four million, four hundred sixty-six thousand, eight hundred twelve".