791421121124197 has 32 divisors (see below), whose sum is σ = 885286329292800. Its totient is φ = 705539934918144.

The previous prime is 791421121124191. The next prime is 791421121124209.

It is a happy number.

791421121124197 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-791421121124197 is a prime.

It is a super-3 number, since 3×791421121124197³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791421121124191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534792828 + ... + 536270650.

It is an arithmetic number, because the mean of its divisors is an integer number (27665197790400).

Almost surely, 2^{791421121124197} is an apocalyptic number.

It is an amenable number.

791421121124197 is a deficient number, since it is larger than the sum of its proper divisors (93865208168603).

791421121124197 is a wasteful number, since it uses less digits than its factorization.

791421121124197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483630 (or 1483596 counting only the distinct ones).

The product of its digits is 508032, while the sum is 52.

The spelling of 791421121124197 in words is "seven hundred ninety-one trillion, four hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-four thousand, one hundred ninety-seven".