213334494433312 has 192 divisors, whose sum is σ = 494566369000704. Its totient is φ = 88681507061760.

The previous prime is 213334494433279. The next prime is 213334494433343.

213334494433312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2901565383 + ... + 2901638905.

It is an arithmetic number, because the mean of its divisors is an integer number (2575866505212).

Almost surely, 2^{213334494433312} 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 213334494433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247283184500352).

213334494433312 is an abundant number, since it is smaller than the sum of its proper divisors (281231874567392).

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

213334494433312 is a wasteful number, since it uses less digits than its factorization.

213334494433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75411 (or 75403 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 49.

The spelling of 213334494433312 in words is "two hundred thirteen trillion, three hundred thirty-four billion, four hundred ninety-four million, four hundred thirty-three thousand, three hundred twelve".