712338585833217 has 32 divisors (see below), whose sum is σ = 1108566031233024. Its totient is φ = 398389020480000.

The previous prime is 712338585833197. The next prime is 712338585833243.

It is a happy number.

712338585833217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 712338585833217 - 2²⁴ = 712338569056001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (712338585833257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 721043842 + ... + 722031092.

It is an arithmetic number, because the mean of its divisors is an integer number (34642688476032).

Almost surely, 2^{712338585833217} is an apocalyptic number.

It is an amenable number.

712338585833217 is a deficient number, since it is larger than the sum of its proper divisors (396227445399807).

712338585833217 is a wasteful number, since it uses less digits than its factorization.

712338585833217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718349.

The product of its digits is 203212800, while the sum is 66.

The spelling of 712338585833217 in words is "seven hundred twelve trillion, three hundred thirty-eight billion, five hundred eighty-five million, eight hundred thirty-three thousand, two hundred seventeen".