317103633252072 has 256 divisors, whose sum is σ = 895151347200000. Its totient is φ = 103998055507200.

The previous prime is 317103633252061. The next prime is 317103633252097. The reversal of 317103633252072 is 270252336301713.

317103633252072 is a `hidden beast` number, since 3 + 1 + 7 + 1 + 0 + 3 + 633 + 2 + 5 + 2 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32627182429 + ... + 32627192147.

It is an arithmetic number, because the mean of its divisors is an integer number (3496684950000).

Almost surely, 2^{317103633252072} 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 317103633252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447575673600000).

317103633252072 is an abundant number, since it is smaller than the sum of its proper divisors (578047713947928).

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

317103633252072 is a wasteful number, since it uses less digits than its factorization.

317103633252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19341 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

Adding to 317103633252072 its reverse (270252336301713), we get a palindrome (587355969553785).

The spelling of 317103633252072 in words is "three hundred seventeen trillion, one hundred three billion, six hundred thirty-three million, two hundred fifty-two thousand, seventy-two".