316485817916800 has 768 divisors, whose sum is σ = 949959912960000. Its totient is φ = 104026528972800.

The previous prime is 316485817916731. The next prime is 316485817916819. The reversal of 316485817916800 is 8619718584613.

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, 3640695736 + ... + 3640782664.

It is an arithmetic number, because the mean of its divisors is an integer number (1236926970000).

Almost surely, 2^{316485817916800} 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 316485817916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474979956480000).

316485817916800 is an abundant number, since it is smaller than the sum of its proper divisors (633474095043200).

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

316485817916800 is a wasteful number, since it uses less digits than its factorization.

316485817916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87112 (or 87081 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 316485817916800 in words is "three hundred sixteen trillion, four hundred eighty-five billion, eight hundred seventeen million, nine hundred sixteen thousand, eight hundred".