29985424569 has 27 divisors (see below), whose sum is σ = 43682340013. Its totient is φ = 19820929632.

The previous prime is 29985424561. The next prime is 29985424571. The reversal of 29985424569 is 96542458992.

The square root of 29985424569 is 173163.

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

29985424569 is a `hidden beast` number, since 29 + 9 + 8 + 5 + 42 + 4 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25925186169 + 4060238400 = 161013^2 + 63720^2 .

It is not a de Polignac number, because 29985424569 - 2³ = 29985424561 is a prime.

It is a super-2 number, since 2×29985424569² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29985424561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102339187 + ... + 102339479.

Almost surely, 2^29985424569 is an apocalyptic number.

29985424569 is the 173163-rd square number.

29985424569 is the 86582-nd centered octagonal number.

It is an amenable number.

29985424569 is a deficient number, since it is larger than the sum of its proper divisors (13696915444).

29985424569 is an frugal number, since it uses more digits than its factorization.

29985424569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

It can be divided in two parts, 299854 and 24569, that added together give a palindrome (324423).

The spelling of 29985424569 in words is "twenty-nine billion, nine hundred eighty-five million, four hundred twenty-four thousand, five hundred sixty-nine".