3112413342444 has 144 divisors (see below), whose sum is σ = 9194903827200. Its totient is φ = 869304256128.

The previous prime is 3112413342443. The next prime is 3112413342461. The reversal of 3112413342444 is 4442433142113.

3112413342444 is a `hidden beast` number, since 31 + 1 + 241 + 3 + 342 + 4 + 44 = 666.

3112413342444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 3112413342399 and 3112413342408.

It is not an unprimeable number, because it can be changed into a prime (3112413342443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076634 + ... + 3246110.

It is an arithmetic number, because the mean of its divisors is an integer number (63853498800).

Almost surely, 2^{3112413342444} 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 3112413342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597451913600).

3112413342444 is an abundant number, since it is smaller than the sum of its proper divisors (6082490484756).

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

3112413342444 is a wasteful number, since it uses less digits than its factorization.

3112413342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169732 (or 1169727 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 3112413342444 its reverse (4442433142113), we get a palindrome (7554846484557).

The spelling of 3112413342444 in words is "three trillion, one hundred twelve billion, four hundred thirteen million, three hundred forty-two thousand, four hundred forty-four".