320214242311245 has 96 divisors (see below), whose sum is σ = 576118716956640. Its totient is φ = 164397522032640.

The previous prime is 320214242311231. The next prime is 320214242311253. The reversal of 320214242311245 is 542113242412023.

320214242311245 is a `hidden beast` number, since 3 + 2 + 0 + 21 + 42 + 42 + 311 + 245 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 99242360506116 + 220971881805129 = 9962046^2 + 14865123^2 .

It is not a de Polignac number, because 320214242311245 - 2²³ = 320214233922637 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 121562235 + ... + 124168455.

It is an arithmetic number, because the mean of its divisors is an integer number (6001236634965).

Almost surely, 2^{320214242311245} is an apocalyptic number.

It is an amenable number.

320214242311245 is a deficient number, since it is larger than the sum of its proper divisors (255904474645395).

320214242311245 is a wasteful number, since it uses less digits than its factorization.

320214242311245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607055 (or 2607052 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 320214242311245 its reverse (542113242412023), we get a palindrome (862327484723268).

The spelling of 320214242311245 in words is "three hundred twenty trillion, two hundred fourteen billion, two hundred forty-two million, three hundred eleven thousand, two hundred forty-five".