44344434312 has 144 divisors (see below), whose sum is σ = 132051064860. Its totient is φ = 13911699456.

The previous prime is 44344434311. The next prime is 44344434361. The reversal of 44344434312 is 21343444344.

It can be written as a sum of positive squares in 2 ways, for example, as 42529163076 + 1815271236 = 206226^2 + 42606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44344434311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 867448 + ... + 917144.

Almost surely, 2^44344434312 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 44344434312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66025532430).

44344434312 is an abundant number, since it is smaller than the sum of its proper divisors (87706630548).

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

44344434312 is an equidigital number, since it uses as much as digits as its factorization.

44344434312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49744 (or 49719 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

Adding to 44344434312 its reverse (21343444344), we get a palindrome (65687878656).

The spelling of 44344434312 in words is "forty-four billion, three hundred forty-four million, four hundred thirty-four thousand, three hundred twelve".