29435235489 has 45 divisors (see below), whose sum is σ = 48359835139. Its totient is φ = 17829242640.

The previous prime is 29435235407. The next prime is 29435235517. The reversal of 29435235489 is 98453253492.

The square root of 29435235489 is 171567.

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

29435235489 is a `hidden beast` number, since 2 + 9 + 43 + 52 + 3 + 548 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13074779025 + 16360456464 = 114345^2 + 127908^2 .

It is not a de Polignac number, because 29435235489 - 2²¹ = 29433138337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29435235889) 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 44 ways as a sum of consecutive naturals, for example, 16984267 + ... + 16985999.

Almost surely, 2^29435235489 is an apocalyptic number.

29435235489 is the 171567-th square number.

29435235489 is the 85784-th centered octagonal number.

It is an amenable number.

29435235489 is a deficient number, since it is larger than the sum of its proper divisors (18924599650).

29435235489 is an frugal number, since it uses more digits than its factorization.

29435235489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 1747 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 29435235489 in words is "twenty-nine billion, four hundred thirty-five million, two hundred thirty-five thousand, four hundred eighty-nine".