320563468982016 has 1440 divisors, whose sum is σ = 1076455351910400. Its totient is φ = 94216514273280.

The previous prime is 320563468981979. The next prime is 320563468982027. The reversal of 320563468982016 is 610289864365023.

320563468982016 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 346 + 89 + 8 + 201 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243035229805 + ... + 243035231123.

Almost surely, 2^{320563468982016} is an apocalyptic number.

320563468982016 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 320563468982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538227675955200).

320563468982016 is an abundant number, since it is smaller than the sum of its proper divisors (755891882928384).

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

320563468982016 is a wasteful number, since it uses less digits than its factorization.

320563468982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 320563468982016 in words is "three hundred twenty trillion, five hundred sixty-three billion, four hundred sixty-eight million, nine hundred eighty-two thousand, sixteen".