443344043122312 has 128 divisors (see below), whose sum is σ = 899166065090400. Its totient is φ = 204150489088000.

The previous prime is 443344043122301. The next prime is 443344043122349. The reversal of 443344043122312 is 213221340443344.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 318732679723396 + 124611363398916 = 17853086^2 + 11162946^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25091623014 + ... + 25091640682.

Almost surely, 2^{443344043122312} is an apocalyptic number.

It is an amenable number.

443344043122312 is an abundant number, since it is smaller than the sum of its proper divisors (455822021968088).

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

443344043122312 is a wasteful number, since it uses less digits than its factorization.

443344043122312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26827 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 443344043122312 its reverse (213221340443344), we get a palindrome (656565383565656).

The spelling of 443344043122312 in words is "four hundred forty-three trillion, three hundred forty-four billion, forty-three million, one hundred twenty-two thousand, three hundred twelve".