812479653347329 has 32 divisors (see below), whose sum is σ = 947125085760000. Its totient is φ = 688785421328640.

The previous prime is 812479653347293. The next prime is 812479653347333. The reversal of 812479653347329 is 923743356974218.

It is a Cunningham number, because it is equal to 93312³+1.

It is not a de Polignac number, because 812479653347329 - 2¹¹ = 812479653345281 is a prime.

It is a super-2 number, since 2×812479653347329² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (812479653347359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18349767 + ... + 44290780.

It is an arithmetic number, because the mean of its divisors is an integer number (29597658930000).

Almost surely, 2^{812479653347329} is an apocalyptic number.

It is an amenable number.

812479653347329 is a deficient number, since it is larger than the sum of its proper divisors (134645432412671).

812479653347329 is a wasteful number, since it uses less digits than its factorization.

812479653347329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62641213.

The product of its digits is 1646023680, while the sum is 73.

The spelling of 812479653347329 in words is "eight hundred twelve trillion, four hundred seventy-nine billion, six hundred fifty-three million, three hundred forty-seven thousand, three hundred twenty-nine".