444301141103444 has 12 divisors (see below), whose sum is σ = 785225284030068. Its totient is φ = 219951059952000.

The previous prime is 444301141103437. The next prime is 444301141103471.

444301141103444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 220479793467844 + 223821347635600 = 14848562^2 + 14960660^2 .

It is a super-2 number, since 2×444301141103444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444301141103398 and 444301141103407.

It is a congruent number.

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, 549877649477 + ... + 549877650284.

It is an arithmetic number, because the mean of its divisors is an integer number (65435440335839).

Almost surely, 2^{444301141103444} is an apocalyptic number.

It is an amenable number.

444301141103444 is a deficient number, since it is larger than the sum of its proper divisors (340924142926624).

444301141103444 is a wasteful number, since it uses less digits than its factorization.

444301141103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099755299866 (or 1099755299864 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 444301141103444 in words is "four hundred forty-four trillion, three hundred one billion, one hundred forty-one million, one hundred three thousand, four hundred forty-four".