214032222230412 has 384 divisors, whose sum is σ = 554878240358400. Its totient is φ = 63930029469696.

The previous prime is 214032222230353. The next prime is 214032222230447.

214032222230412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214032222230412.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35749491283 + ... + 35749497269.

It is an arithmetic number, because the mean of its divisors is an integer number (1444995417600).

Almost surely, 2^{214032222230412} 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 214032222230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277439120179200).

214032222230412 is an abundant number, since it is smaller than the sum of its proper divisors (340846018127988).

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

214032222230412 is a wasteful number, since it uses less digits than its factorization.

214032222230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 214032222230412 in words is "two hundred fourteen trillion, thirty-two billion, two hundred twenty-two million, two hundred thirty thousand, four hundred twelve".