712712473729 has 27 divisors (see below), whose sum is σ = 746115582537. Its totient is φ = 680781427200.

The previous prime is 712712473727. The next prime is 712712473777. The reversal of 712712473729 is 927374217217.

The square root of 712712473729 is 844223.

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 102051497025 + 610660976704 = 319455^2 + 781448^2 .

It is not a de Polignac number, because 712712473729 - 2¹ = 712712473727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (712712473723) 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 26 ways as a sum of consecutive naturals, for example, 2957313049 + ... + 2957313289.

Almost surely, 2^712712473729 is an apocalyptic number.

712712473729 is the 844223-rd square number.

712712473729 is the 422112-nd centered octagonal number.

It is an amenable number.

712712473729 is a deficient number, since it is larger than the sum of its proper divisors (33403108808).

712712473729 is an frugal number, since it uses more digits than its factorization.

712712473729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 52.

The spelling of 712712473729 in words is "seven hundred twelve billion, seven hundred twelve million, four hundred seventy-three thousand, seven hundred twenty-nine".