317590828764 has 192 divisors, whose sum is σ = 851856445440. Its totient is φ = 91203840000.

The previous prime is 317590828759. The next prime is 317590828783. The reversal of 317590828764 is 467828095713.

It is a junction number, because it is equal to n+sod(n) for n = 317590828698 and 317590828707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152029032 + ... + 152031120.

It is an arithmetic number, because the mean of its divisors is an integer number (4436752320).

It is a 1-persistent number, because it is pandigital, but 2⋅317590828764 = 635181657528 is not.

Almost surely, 2^317590828764 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 317590828764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425928222720).

317590828764 is an abundant number, since it is smaller than the sum of its proper divisors (534265616676).

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

317590828764 is a wasteful number, since it uses less digits than its factorization.

317590828764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 317590828764 in words is "three hundred seventeen billion, five hundred ninety million, eight hundred twenty-eight thousand, seven hundred sixty-four".