218180034168 has 64 divisors (see below), whose sum is σ = 560088345600. Its totient is φ = 70783384320.

The previous prime is 218180034139. The next prime is 218180034173. The reversal of 218180034168 is 861430081812.

218180034168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147705 + ... + 676887.

It is an arithmetic number, because the mean of its divisors is an integer number (8751380400).

Almost surely, 2^218180034168 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 218180034168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280044172800).

218180034168 is an abundant number, since it is smaller than the sum of its proper divisors (341908311432).

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

218180034168 is a wasteful number, since it uses less digits than its factorization.

218180034168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529652 (or 529648 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 218180034168 in words is "two hundred eighteen billion, one hundred eighty million, thirty-four thousand, one hundred sixty-eight".