444202352112 has 160 divisors (see below), whose sum is σ = 1233031938048. Its totient is φ = 137437267968.

The previous prime is 444202352107. The next prime is 444202352161. The reversal of 444202352112 is 211253202444.

It is a happy number.

It is a super-3 number, since 3×444202352112³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444202352112.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15630588 + ... + 15658980.

Almost surely, 2^444202352112 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 444202352112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616515969024).

444202352112 is an abundant number, since it is smaller than the sum of its proper divisors (788829585936).

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

444202352112 is a wasteful number, since it uses less digits than its factorization.

444202352112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847 (or 28841 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 444202352112 its reverse (211253202444), we get a palindrome (655455554556).

The spelling of 444202352112 in words is "four hundred forty-four billion, two hundred two million, three hundred fifty-two thousand, one hundred twelve".