444443565344444 has 48 divisors (see below), whose sum is σ = 826844531896320. Its totient is φ = 208434767745600.

The previous prime is 444443565344437. The next prime is 444443565344479.

444443565344444 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 241391189 + ... + 243225395.

It is an arithmetic number, because the mean of its divisors is an integer number (17225927747840).

Almost surely, 2^{444443565344444} is an apocalyptic number.

It is an amenable number.

444443565344444 is a deficient number, since it is larger than the sum of its proper divisors (382400966551876).

444443565344444 is a wasteful number, since it uses less digits than its factorization.

444443565344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865898 (or 1865896 counting only the distinct ones).

The product of its digits is 1415577600, while the sum is 62.

The spelling of 444443565344444 in words is "four hundred forty-four trillion, four hundred forty-three billion, five hundred sixty-five million, three hundred forty-four thousand, four hundred forty-four".