317193117696 has 1344 divisors, whose sum is σ = 1250312813568. Its totient is φ = 77970014208.

The previous prime is 317193117589. The next prime is 317193117707. The reversal of 317193117696 is 696711391713.

317193117696 is a `hidden beast` number, since 3 + 171 + 9 + 311 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×317193117696² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3079544781 + ... + 3079544883.

It is an arithmetic number, because the mean of its divisors is an integer number (930292272).

Almost surely, 2^317193117696 is an apocalyptic number.

317193117696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317193117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625156406784).

317193117696 is an abundant number, since it is smaller than the sum of its proper divisors (933119695872).

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

317193117696 is a wasteful number, since it uses less digits than its factorization.

317193117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The spelling of 317193117696 in words is "three hundred seventeen billion, one hundred ninety-three million, one hundred seventeen thousand, six hundred ninety-six".