29664068139729 has 9 divisors (see below), whose sum is σ = 42848122025449. Its totient is φ = 19776034533540.

The previous prime is 29664068139721. The next prime is 29664068139737. The reversal of 29664068139729 is 92793186046692.

The square root of 29664068139729 is 5446473.

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

29664068139729 is a `hidden beast` number, since 2 + 9 + 66 + 406 + 8 + 139 + 7 + 29 = 666.

It is an interprime number because it is at equal distance from previous prime (29664068139721) and next prime (29664068139737).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 29664068139729 - 2³ = 29664068139721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29664068139721) 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, 15431674 + ... + 17247164.

Almost surely, 2^{29664068139729} is an apocalyptic number.

29664068139729 is the 5446473-rd square number.

29664068139729 is the 2723237-th centered octagonal number.

It is an amenable number.

29664068139729 is a deficient number, since it is larger than the sum of its proper divisors (13184053885720).

29664068139729 is an frugal number, since it uses more digits than its factorization.

29664068139729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630988 (or 1815494 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 29664068139729 in words is "twenty-nine trillion, six hundred sixty-four billion, sixty-eight million, one hundred thirty-nine thousand, seven hundred twenty-nine".