444495683664 has 120 divisors (see below), whose sum is σ = 1266294606720. Its totient is φ = 145523298816.

The previous prime is 444495683629. The next prime is 444495683669. The reversal of 444495683664 is 466386594444.

It is a happy number.

444495683664 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 9 + 568 + 3 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444495683669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2423907 + ... + 2600829.

It is an arithmetic number, because the mean of its divisors is an integer number (10552455056).

Almost surely, 2^444495683664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444495683664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633147303360).

444495683664 is an abundant number, since it is smaller than the sum of its proper divisors (821798923056).

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

444495683664 is a wasteful number, since it uses less digits than its factorization.

444495683664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177249 (or 177240 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 63.

The spelling of 444495683664 in words is "four hundred forty-four billion, four hundred ninety-five million, six hundred eighty-three thousand, six hundred sixty-four".