320557658112 has 260 divisors, whose sum is σ = 959791892400. Its totient is φ = 106608033792.

The previous prime is 320557658107. The next prime is 320557658117. The reversal of 320557658112 is 211856755023.

320557658112 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 57 + 6 + 581 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (320557658107) and next prime (320557658117).

It is not an unprimeable number, because it can be changed into a prime (320557658117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198733018 + ... + 198734630.

Almost surely, 2^320557658112 is an apocalyptic number.

320557658112 is a gapful number since it is divisible by the number (32) 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 320557658112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479895946200).

320557658112 is an abundant number, since it is smaller than the sum of its proper divisors (639234234288).

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

320557658112 is an equidigital number, since it uses as much as digits as its factorization.

320557658112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 320557658112 in words is "three hundred twenty billion, five hundred fifty-seven million, six hundred fifty-eight thousand, one hundred twelve".