444244414133312 has 56 divisors (see below), whose sum is σ = 950612964323736. Its totient is φ = 204765029941248.

The previous prime is 444244414133279. The next prime is 444244414133339. The reversal of 444244414133312 is 213331414442444.

It can be written as a sum of positive squares in 4 ways, for example, as 5843900117056 + 438400514016256 = 2417416^2 + 20938016^2 .

It is a super-2 number, since 2×444244414133312² (a number of 30 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 352043633 + ... + 353303280.

It is an arithmetic number, because the mean of its divisors is an integer number (16975231505781).

Almost surely, 2^{444244414133312} is an apocalyptic number.

It is an amenable number.

444244414133312 is an abundant number, since it is smaller than the sum of its proper divisors (506368550190424).

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

444244414133312 is a wasteful number, since it uses less digits than its factorization.

444244414133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705347695 (or 705347685 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 44.

Adding to 444244414133312 its reverse (213331414442444), we get a palindrome (657575828575756).

The spelling of 444244414133312 in words is "four hundred forty-four trillion, two hundred forty-four billion, four hundred fourteen million, one hundred thirty-three thousand, three hundred twelve".