320872416319744 has 27 divisors (see below), whose sum is σ = 640491996857377. Its totient is φ = 160436064856576.

The previous prime is 320872416319717. The next prime is 320872416319747. The reversal of 320872416319744 is 447913614278023.

The square root of 320872416319744 is 17912912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 47945099577600 + 272927316742144 = 6924240^2 + 16520512^2 .

It is a super-2 number, since 2×320872416319744² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320872416319747) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 286046814 + ... + 287166370.

Almost surely, 2^{320872416319744} is an apocalyptic number.

320872416319744 is the 17912912-nd square number.

It is an amenable number.

320872416319744 is a deficient number, since it is larger than the sum of its proper divisors (319619580537633).

320872416319744 is an frugal number, since it uses more digits than its factorization.

320872416319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239130 (or 1119559 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 320872416319744 in words is "three hundred twenty trillion, eight hundred seventy-two billion, four hundred sixteen million, three hundred nineteen thousand, seven hundred forty-four".