317055828652416 has 768 divisors, whose sum is σ = 1139710671590400. Its totient is φ = 85813328240640.

The previous prime is 317055828652397. The next prime is 317055828652427. The reversal of 317055828652416 is 614256828550713.

317055828652416 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 5 + 582 + 8 + 6 + 5 + 2 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 334174221 + ... + 335121651.

It is an arithmetic number, because the mean of its divisors is an integer number (1483998270300).

Almost surely, 2^{317055828652416} is an apocalyptic number.

317055828652416 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 317055828652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569855335795200).

317055828652416 is an abundant number, since it is smaller than the sum of its proper divisors (822654842937984).

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

317055828652416 is an equidigital number, since it uses as much as digits as its factorization.

317055828652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947549 (or 947525 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 317055828652416 in words is "three hundred seventeen trillion, fifty-five billion, eight hundred twenty-eight million, six hundred fifty-two thousand, four hundred sixteen".