412223161322214 has 144 divisors (see below), whose sum is σ = 1008414960593040. Its totient is φ = 121521345897600.

The previous prime is 412223161322173. The next prime is 412223161322221.

412223161322214 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 2 + 3 + 1 + 613 + 2 + 22 + 14 = 666.

412223161322214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529141372 + ... + 529919840.

It is an arithmetic number, because the mean of its divisors is an integer number (7002881670785).

Almost surely, 2^{412223161322214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412223161322214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504207480296520).

412223161322214 is an abundant number, since it is smaller than the sum of its proper divisors (596191799270826).

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

412223161322214 is a wasteful number, since it uses less digits than its factorization.

412223161322214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785107 (or 785093 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 412223161322214 in words is "four hundred twelve trillion, two hundred twenty-three billion, one hundred sixty-one million, three hundred twenty-two thousand, two hundred fourteen".