444504343405444 has 18 divisors (see below), whose sum is σ = 904883841932910. Its totient is φ = 190501861459392.

The previous prime is 444504343405393. The next prime is 444504343405453.

444504343405444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 317835801202500 + 126668542202944 = 17827950^2 + 11254712^2 .

It is a super-2 number, since 2×444504343405444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444504343405391 and 444504343405400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1133939651349 + ... + 1133939651740.

Almost surely, 2^{444504343405444} is an apocalyptic number.

It is an amenable number.

444504343405444 is an abundant number, since it is smaller than the sum of its proper divisors (460379498527466).

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

444504343405444 is a wasteful number, since it uses less digits than its factorization.

444504343405444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267879303107 (or 2267879303098 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 52.

The spelling of 444504343405444 in words is "four hundred forty-four trillion, five hundred four billion, three hundred forty-three million, four hundred five thousand, four hundred forty-four".