320293382401 has 16 divisors (see below), whose sum is σ = 325958559696. Its totient is φ = 314683600896.

The previous prime is 320293382377. The next prime is 320293382419. The reversal of 320293382401 is 104283392023.

It can be written as a sum of positive squares in 8 ways, for example, as 171180787600 + 149112594801 = 413740^2 + 386151^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-320293382401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320293382501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8714475 + ... + 8751151.

It is an arithmetic number, because the mean of its divisors is an integer number (20372409981).

Almost surely, 2^320293382401 is an apocalyptic number.

It is an amenable number.

320293382401 is a deficient number, since it is larger than the sum of its proper divisors (5665177295).

320293382401 is a wasteful number, since it uses less digits than its factorization.

320293382401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37428.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 320293382401 in words is "three hundred twenty billion, two hundred ninety-three million, three hundred eighty-two thousand, four hundred one".