443221000122344 has 32 divisors (see below), whose sum is σ = 840699566572320. Its totient is φ = 219043799497536.

The previous prime is 443221000122259. The next prime is 443221000122403.

It is a happy number.

443221000122344 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×443221000122344⁴ (a number of 60 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 443221000122344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584024339 + ... + 584782754.

It is an arithmetic number, because the mean of its divisors is an integer number (26271861455385).

Almost surely, 2^{443221000122344} is an apocalyptic number.

It is an amenable number.

443221000122344 is a deficient number, since it is larger than the sum of its proper divisors (397478566449976).

443221000122344 is a wasteful number, since it uses less digits than its factorization.

443221000122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168807649 (or 1168807645 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 443221000 and 122344, that added together give a palindrome (443343344).

The spelling of 443221000122344 in words is "four hundred forty-three trillion, two hundred twenty-one billion, one hundred twenty-two thousand, three hundred forty-four".