444313323313444 has 24 divisors (see below), whose sum is σ = 840034995422840. Its totient is φ = 204412519344384.

The previous prime is 444313323313429. The next prime is 444313323313543.

444313323313444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 440564062500 + 443872759250944 = 663750^2 + 21068288^2 .

It is a super-2 number, since 2×444313323313444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444313323313394 and 444313323313403.

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, 13649323959 + ... + 13649356510.

Almost surely, 2^{444313323313444} is an apocalyptic number.

It is an amenable number.

444313323313444 is a deficient number, since it is larger than the sum of its proper divisors (395721672109396).

444313323313444 is a wasteful number, since it uses less digits than its factorization.

444313323313444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27298680799 (or 27298680797 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 46.

The spelling of 444313323313444 in words is "four hundred forty-four trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thirteen thousand, four hundred forty-four".