791959386241 has 3 divisors (see below), whose sum is σ = 791960276163. Its totient is φ = 791958496320.

The previous prime is 791959386223. The next prime is 791959386247. The reversal of 791959386241 is 142683959197.

The square root of 791959386241 is 889921.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 14670296641 + 777289089600 = 121121^2 + 881640^2 .

It is not a de Polignac number, because 791959386241 - 2¹⁵ = 791959353473 is a prime.

It is a super-2 number, since 2×791959386241² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (791959386247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 444961 + ... + 1334881.

It is an arithmetic number, because the mean of its divisors is an integer number (263986758721).

Almost surely, 2^791959386241 is an apocalyptic number.

791959386241 is the 889921-st square number.

791959386241 is the 444961-st centered octagonal number.

It is an amenable number.

791959386241 is a deficient number, since it is larger than the sum of its proper divisors (889922).

791959386241 is an frugal number, since it uses more digits than its factorization.

791959386241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779842 (or 889921 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 64.

Multiplying 791959386241 by its sum of digits (64), we get a square (50685400719424 = 7119368²).

The spelling of 791959386241 in words is "seven hundred ninety-one billion, nine hundred fifty-nine million, three hundred eighty-six thousand, two hundred forty-one".