10312241314344 has 128 divisors (see below), whose sum is σ = 27345956659200. Its totient is φ = 3234909553920.

The previous prime is 10312241314303. The next prime is 10312241314373. The reversal of 10312241314344 is 44341314221301.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52397677 + ... + 52594115.

It is an arithmetic number, because the mean of its divisors is an integer number (213640286400).

Almost surely, 2^{10312241314344} 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 10312241314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672978329600).

10312241314344 is an abundant number, since it is smaller than the sum of its proper divisors (17033715344856).

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

10312241314344 is a wasteful number, since it uses less digits than its factorization.

10312241314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198423 (or 198419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 10312241314344 its reverse (44341314221301), we get a palindrome (54653555535645).

The spelling of 10312241314344 in words is "ten trillion, three hundred twelve billion, two hundred forty-one million, three hundred fourteen thousand, three hundred forty-four".