230442222244032 has 336 divisors, whose sum is σ = 693530056293984. Its totient is φ = 73091082240000.

The previous prime is 230442222244027. The next prime is 230442222244033.

230442222244032 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 2 + 22 + 224 + 403 + 2 = 666.

230442222244032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230442222244033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159088482 + ... + 160530462.

It is an arithmetic number, because the mean of its divisors is an integer number (2064077548494).

Almost surely, 2^{230442222244032} 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 230442222244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346765028146992).

230442222244032 is an abundant number, since it is smaller than the sum of its proper divisors (463087834049952).

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

230442222244032 is a wasteful number, since it uses less digits than its factorization.

230442222244032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442208 (or 1442195 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 230442222244032 in words is "two hundred thirty trillion, four hundred forty-two billion, two hundred twenty-two million, two hundred forty-four thousand, thirty-two".