29834616529 has 9 divisors (see below), whose sum is σ = 30417488283. Its totient is φ = 29262717432.

The previous prime is 29834616523. The next prime is 29834616551. The reversal of 29834616529 is 92561643892.

The square root of 29834616529 is 172727.

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., 21507689025 + 8326927504 = 146655^2 + 91252^2 .

It is not a de Polignac number, because 29834616529 - 2³³ = 21244681937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29834616529.

It is not an unprimeable number, because it can be changed into a prime (29834616523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9152902 + ... + 9156160.

Almost surely, 2^29834616529 is an apocalyptic number.

29834616529 is the 172727-th square number.

29834616529 is the 86364-th centered octagonal number.

It is an amenable number.

29834616529 is a deficient number, since it is larger than the sum of its proper divisors (582871754).

29834616529 is an frugal number, since it uses more digits than its factorization.

29834616529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624 (or 3312 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The spelling of 29834616529 in words is "twenty-nine billion, eight hundred thirty-four million, six hundred sixteen thousand, five hundred twenty-nine".