320162236312968 has 1024 divisors, whose sum is σ = 1124268539904000. Its totient is φ = 82370458082304.

The previous prime is 320162236312939. The next prime is 320162236313027. The reversal of 320162236312968 is 869213632261023.

320162236312968 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 6 + 2 + 236 + 312 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28126343805 + ... + 28126355187.

It is an arithmetic number, because the mean of its divisors is an integer number (1097918496000).

Almost surely, 2^{320162236312968} is an apocalyptic number.

320162236312968 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 320162236312968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562134269952000).

320162236312968 is an abundant number, since it is smaller than the sum of its proper divisors (804106303591032).

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

320162236312968 is a wasteful number, since it uses less digits than its factorization.

320162236312968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071 (or 12061 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 320162236312968 in words is "three hundred twenty trillion, one hundred sixty-two billion, two hundred thirty-six million, three hundred twelve thousand, nine hundred sixty-eight".