12331440313344 has 132 divisors (see below), whose sum is σ = 35728298918676. Its totient is φ = 4096450265088.

The previous prime is 12331440313333. The next prime is 12331440313369. The reversal of 12331440313344 is 44331304413321.

12331440313344 is a `hidden beast` number, since 1 + 2 + 3 + 314 + 4 + 0 + 3 + 1 + 334 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10765538463744 + 1565901849600 = 3281088^2 + 1251360^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12331440313299 and 12331440313308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416932 + ... + 4983644.

Almost surely, 2^{12331440313344} 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 12331440313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864149459338).

12331440313344 is an abundant number, since it is smaller than the sum of its proper divisors (23396858605332).

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

12331440313344 is a wasteful number, since it uses less digits than its factorization.

12331440313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567032 (or 4567011 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 12331440313344 its reverse (44331304413321), we get a palindrome (56662744726665).

The spelling of 12331440313344 in words is "twelve trillion, three hundred thirty-one billion, four hundred forty million, three hundred thirteen thousand, three hundred forty-four".