317091867456 has 224 divisors, whose sum is σ = 1033070913280. Its totient is φ = 83588972544.

The previous prime is 317091867401. The next prime is 317091867457. The reversal of 317091867456 is 654768190713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 317091867396 and 317091867405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317091867457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64591530 + ... + 64596438.

It is an arithmetic number, because the mean of its divisors is an integer number (4611923720).

Almost surely, 2^317091867456 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 317091867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516535456640).

317091867456 is an abundant number, since it is smaller than the sum of its proper divisors (715979045824).

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

317091867456 is a wasteful number, since it uses less digits than its factorization.

317091867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 317091867456 in words is "three hundred seventeen billion, ninety-one million, eight hundred sixty-seven thousand, four hundred fifty-six".