64633126117729 has 9 divisors (see below), whose sum is σ = 69987462754329. Its totient is φ = 59661250711920.

The previous prime is 64633126117661. The next prime is 64633126117741. The reversal of 64633126117729 is 92771162133646.

The square root of 64633126117729 is 8039473.

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 6834329205025 + 57798796912704 = 2614255^2 + 7602552^2 .

It is not a de Polignac number, because 64633126117729 - 2¹⁷ = 64633125986657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64633126117759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104203939 + ... + 104822359.

It is an arithmetic number, because the mean of its divisors is an integer number (7776384750481).

Almost surely, 2^{64633126117729} is an apocalyptic number.

64633126117729 is the 8039473-rd square number.

64633126117729 is the 4019737-th centered octagonal number.

It is an amenable number.

64633126117729 is a deficient number, since it is larger than the sum of its proper divisors (5354336636600).

64633126117729 is an frugal number, since it uses more digits than its factorization.

64633126117729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236868 (or 618434 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 58.

The spelling of 64633126117729 in words is "sixty-four trillion, six hundred thirty-three billion, one hundred twenty-six million, one hundred seventeen thousand, seven hundred twenty-nine".