317352688128 has 1280 divisors, whose sum is σ = 1206779904000. Its totient is φ = 81935400960.

The previous prime is 317352688127. The next prime is 317352688153. The reversal of 317352688128 is 821886253713.

317352688128 is a `hidden beast` number, since 3 + 17 + 3 + 526 + 8 + 81 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (317352688127) 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 127 ways as a sum of consecutive naturals, for example, 2498840001 + ... + 2498840127.

It is an arithmetic number, because the mean of its divisors is an integer number (942796800).

Almost surely, 2^317352688128 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 317352688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603389952000).

317352688128 is an abundant number, since it is smaller than the sum of its proper divisors (889427215872).

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

317352688128 is a wasteful number, since it uses less digits than its factorization.

317352688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 187 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 317352688128 in words is "three hundred seventeen billion, three hundred fifty-two million, six hundred eighty-eight thousand, one hundred twenty-eight".