726314722081 has 9 divisors (see below), whose sum is σ = 786494802681. Its totient is φ = 670434131952.

The previous prime is 726314722073. The next prime is 726314722087. The reversal of 726314722081 is 180227413627.

The square root of 726314722081 is 852241.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20109792481 + 706204929600 = 141809^2 + 840360^2 .

It is not a de Polignac number, because 726314722081 - 2³ = 726314722073 is a prime.

It is a super-2 number, since 2×726314722081² (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 (726314722087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11046355 + ... + 11111911.

It is an arithmetic number, because the mean of its divisors is an integer number (87388311409).

Almost surely, 2^726314722081 is an apocalyptic number.

726314722081 is the 852241-st square number.

726314722081 is the 426121-st centered octagonal number.

It is an amenable number.

726314722081 is a deficient number, since it is larger than the sum of its proper divisors (60180080600).

726314722081 is an frugal number, since it uses more digits than its factorization.

726314722081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131140 (or 65570 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 726314722081 in words is "seven hundred twenty-six billion, three hundred fourteen million, seven hundred twenty-two thousand, eighty-one".