29686337499289 has 21 divisors (see below), whose sum is σ = 31570200761497. Its totient is φ = 27914888409664.

The previous prime is 29686337499271. The next prime is 29686337499353. The reversal of 29686337499289 is 98299473368692.

The square root of 29686337499289 is 5448517.

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

It can be written as a sum of positive squares in 10 ways, for example, as 28164302070025 + 1522035429264 = 5307005^2 + 1233708^2 .

It is not a de Polignac number, because 29686337499289 - 2⁹ = 29686337498777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29686337499209) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 26768563467 + ... + 26768564575.

Almost surely, 2^{29686337499289} is an apocalyptic number.

29686337499289 is the 5448517-th square number.

29686337499289 is the 2724259-th centered octagonal number.

It is an amenable number.

29686337499289 is a deficient number, since it is larger than the sum of its proper divisors (1883863262208).

29686337499289 is an frugal number, since it uses more digits than its factorization.

29686337499289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 1126 counting only the distinct ones).

The product of its digits is 15237476352, while the sum is 85.

The spelling of 29686337499289 in words is "twenty-nine trillion, six hundred eighty-six billion, three hundred thirty-seven million, four hundred ninety-nine thousand, two hundred eighty-nine".