317233085664 has 192 divisors, whose sum is σ = 939748884480. Its totient is φ = 92831424000.

The previous prime is 317233085599. The next prime is 317233085683. The reversal of 317233085664 is 466580332713.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15670429 + ... + 15690659.

It is an arithmetic number, because the mean of its divisors is an integer number (4894525440).

Almost surely, 2^317233085664 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 317233085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469874442240).

317233085664 is an abundant number, since it is smaller than the sum of its proper divisors (622515798816).

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

317233085664 is a wasteful number, since it uses less digits than its factorization.

317233085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20765 (or 20757 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 317233085664 in words is "three hundred seventeen billion, two hundred thirty-three million, eighty-five thousand, six hundred sixty-four".