3117293297664 has 672 divisors, whose sum is σ = 10469358767616. Its totient is φ = 803375677440.

The previous prime is 3117293297653. The next prime is 3117293297731. The reversal of 3117293297664 is 4667923927113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 3117293297598 and 3117293297607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4940242629 + ... + 4940243259.

It is an arithmetic number, because the mean of its divisors is an integer number (15579402928).

Almost surely, 2^{3117293297664} 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 3117293297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234679383808).

3117293297664 is an abundant number, since it is smaller than the sum of its proper divisors (7352065469952).

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

3117293297664 is an equidigital number, since it uses as much as digits as its factorization.

3117293297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 703 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The spelling of 3117293297664 in words is "three trillion, one hundred seventeen billion, two hundred ninety-three million, two hundred ninety-seven thousand, six hundred sixty-four".