444643727346444 has 48 divisors (see below), whose sum is σ = 1047788668362240. Its totient is φ = 146745096254400.

The previous prime is 444643727346433. The next prime is 444643727346487.

It is a happy number.

444643727346444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87407187 + ... + 92354229.

It is an arithmetic number, because the mean of its divisors is an integer number (21828930590880).

Almost surely, 2^{444643727346444} is an apocalyptic number.

It is an amenable number.

444643727346444 is an abundant number, since it is smaller than the sum of its proper divisors (603144941015796).

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

444643727346444 is a wasteful number, since it uses less digits than its factorization.

444643727346444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021310 (or 5021308 counting only the distinct ones).

The product of its digits is 2080899072, while the sum is 66.

The spelling of 444643727346444 in words is "four hundred forty-four trillion, six hundred forty-three billion, seven hundred twenty-seven million, three hundred forty-six thousand, four hundred forty-four".