726706805841 has 21 divisors (see below), whose sum is σ = 1089596291979. Its totient is φ = 484455859416.

The previous prime is 726706805809. The next prime is 726706805843. The reversal of 726706805841 is 148508607627.

The square root of 726706805841 is 852471.

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

It can be written as a sum of positive squares in only one way, i.e., 318891737025 + 407815068816 = 564705^2 + 638604^2 .

It is not a de Polignac number, because 726706805841 - 2⁵ = 726706805809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (726706805843) 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 20 ways as a sum of consecutive naturals, for example, 23000931 + ... + 23032503.

Almost surely, 2^726706805841 is an apocalyptic number.

726706805841 is the 852471-st square number.

726706805841 is the 426236-th centered octagonal number.

It is an amenable number.

726706805841 is a deficient number, since it is larger than the sum of its proper divisors (362889486138).

726706805841 is an frugal number, since it uses more digits than its factorization.

726706805841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63164 (or 31576 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 726706805841 in words is "seven hundred twenty-six billion, seven hundred six million, eight hundred five thousand, eight hundred forty-one".