444522180636864 has 448 divisors, whose sum is σ = 1430393692277760. Its totient is φ = 134252826624000.

The previous prime is 444522180636799. The next prime is 444522180636869. The reversal of 444522180636864 is 468636081225444.

444522180636864 is a `hidden beast` number, since 4 + 4 + 4 + 52 + 218 + 0 + 6 + 368 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (444522180636869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6920647629 + ... + 6920711859.

It is an arithmetic number, because the mean of its divisors is an integer number (3192843063120).

Almost surely, 2^{444522180636864} is an apocalyptic number.

444522180636864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444522180636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715196846138880).

444522180636864 is an abundant number, since it is smaller than the sum of its proper divisors (985871511640896).

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

444522180636864 is a wasteful number, since it uses less digits than its factorization.

444522180636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65477 (or 65461 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 444522180636864 in words is "four hundred forty-four trillion, five hundred twenty-two billion, one hundred eighty million, six hundred thirty-six thousand, eight hundred sixty-four".