3117863131344 has 200 divisors, whose sum is σ = 9720530450400. Its totient is φ = 959107951872.

The previous prime is 3117863131277. The next prime is 3117863131441. The reversal of 3117863131344 is 4431313687113.

3117863131344 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 8 + 631 + 3 + 1 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3117863131344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76587507 + ... + 76628205.

It is an arithmetic number, because the mean of its divisors is an integer number (48602652252).

Almost surely, 2^{3117863131344} 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 3117863131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860265225200).

3117863131344 is an abundant number, since it is smaller than the sum of its proper divisors (6602667319056).

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

3117863131344 is a wasteful number, since it uses less digits than its factorization.

3117863131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45279 (or 45264 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 3117863131344 in words is "three trillion, one hundred seventeen billion, eight hundred sixty-three million, one hundred thirty-one thousand, three hundred forty-four".