444833424338444 has 48 divisors (see below), whose sum is σ = 797836084325280. Its totient is φ = 216896828252160.

The previous prime is 444833424338441. The next prime is 444833424338507.

444833424338444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444833424338444² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (444833424338441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3535608482 + ... + 3535734294.

It is an arithmetic number, because the mean of its divisors is an integer number (16621585090110).

Almost surely, 2^{444833424338444} is an apocalyptic number.

It is an amenable number.

444833424338444 is a deficient number, since it is larger than the sum of its proper divisors (353002659986836).

444833424338444 is a wasteful number, since it uses less digits than its factorization.

444833424338444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158570 (or 158568 counting only the distinct ones).

The product of its digits is 679477248, while the sum is 62.

The spelling of 444833424338444 in words is "four hundred forty-four trillion, eight hundred thirty-three billion, four hundred twenty-four million, three hundred thirty-eight thousand, four hundred forty-four".