320344251305312 has 96 divisors (see below), whose sum is σ = 692454904481088. Its totient is φ = 144967519696896.

The previous prime is 320344251305269. The next prime is 320344251305327. The reversal of 320344251305312 is 213503152443023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29311898 + ... + 38728230.

It is an arithmetic number, because the mean of its divisors is an integer number (7213071921678).

Almost surely, 2^{320344251305312} is an apocalyptic number.

320344251305312 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 320344251305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346227452240544).

320344251305312 is an abundant number, since it is smaller than the sum of its proper divisors (372110653175776).

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

320344251305312 is a wasteful number, since it uses less digits than its factorization.

320344251305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417952 (or 9417944 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 320344251305312 in words is "three hundred twenty trillion, three hundred forty-four billion, two hundred fifty-one million, three hundred five thousand, three hundred twelve".