320204404092168 has 256 divisors, whose sum is σ = 968678131680000. Its totient is φ = 97618006241280.

The previous prime is 320204404092137. The next prime is 320204404092193. The reversal of 320204404092168 is 861290404402023.

320204404092168 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 0 + 440 + 40 + 9 + 2 + 168 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 961601830 + ... + 961934762.

It is an arithmetic number, because the mean of its divisors is an integer number (3783898951875).

Almost surely, 2^{320204404092168} is an apocalyptic number.

320204404092168 is a gapful number since it is divisible by the number (38) 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 320204404092168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484339065840000).

320204404092168 is an abundant number, since it is smaller than the sum of its proper divisors (648473727587832).

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

320204404092168 is a wasteful number, since it uses less digits than its factorization.

320204404092168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341077 (or 341067 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 320204404092168 in words is "three hundred twenty trillion, two hundred four billion, four hundred four million, ninety-two thousand, one hundred sixty-eight".