218064336213834 has 96 divisors (see below), whose sum is σ = 529403206026240. Its totient is φ = 64288321833600.

The previous prime is 218064336213821. The next prime is 218064336213859. The reversal of 218064336213834 is 438312633460812.

218064336213834 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 6 + 4 + 3 + 3 + 621 + 3 + 8 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79761832 + ... + 82450460.

It is an arithmetic number, because the mean of its divisors is an integer number (5514616729440).

Almost surely, 2^{218064336213834} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218064336213834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264701603013120).

218064336213834 is an abundant number, since it is smaller than the sum of its proper divisors (311338869812406).

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

218064336213834 is a wasteful number, since it uses less digits than its factorization.

218064336213834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699756 (or 2699753 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 218064336213834 in words is "two hundred eighteen trillion, sixty-four billion, three hundred thirty-six million, two hundred thirteen thousand, eight hundred thirty-four".