791220242022197 has 16 divisors (see below), whose sum is σ = 861566314739760. Its totient is φ = 726572912173056.

The previous prime is 791220242022163. The next prime is 791220242022239.

It is a happy number.

791220242022197 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 781643389588996 + 9576852433201 = 27957886^2 + 3094649^2 .

It is not a de Polignac number, because 791220242022197 - 2²² = 791220237827893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791220242025197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932572508 + ... + 933420549.

It is an arithmetic number, because the mean of its divisors is an integer number (53847894671235).

Almost surely, 2^{791220242022197} is an apocalyptic number.

It is an amenable number.

791220242022197 is a deficient number, since it is larger than the sum of its proper divisors (70346072717563).

791220242022197 is a wasteful number, since it uses less digits than its factorization.

791220242022197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865993289 (or 1865993263 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 791220242022197 in words is "seven hundred ninety-one trillion, two hundred twenty billion, two hundred forty-two million, twenty-two thousand, one hundred ninety-seven".