444331464133444 has 12 divisors (see below), whose sum is σ = 781527169149804. Its totient is φ = 221037987233504.

The previous prime is 444331464133421. The next prime is 444331464133481.

444331464133444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 240778468293444 + 203552995840000 = 15517038^2 + 14267200^2 .

It is a super-2 number, since 2×444331464133444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444331464133391 and 444331464133400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281936207419 + ... + 281936208994.

It is an arithmetic number, because the mean of its divisors is an integer number (65127264095817).

Almost surely, 2^{444331464133444} is an apocalyptic number.

It is an amenable number.

444331464133444 is a deficient number, since it is larger than the sum of its proper divisors (337195705016360).

444331464133444 is a wasteful number, since it uses less digits than its factorization.

444331464133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563872416614 (or 563872416612 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 52.

The spelling of 444331464133444 in words is "four hundred forty-four trillion, three hundred thirty-one billion, four hundred sixty-four million, one hundred thirty-three thousand, four hundred forty-four".