29089349136 has 135 divisors (see below), whose sum is σ = 83122985127. Its totient is φ = 9496558080.

The previous prime is 29089349129. The next prime is 29089349137. The reversal of 29089349136 is 63194398092.

The square root of 29089349136 is 170556.

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

29089349136 is a `hidden beast` number, since 2 + 90 + 89 + 349 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18468810000 + 10620539136 = 135900^2 + 103056^2 .

It is a super-2 number, since 2×29089349136² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29089349137) 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 26 ways as a sum of consecutive naturals, for example, 124846876 + ... + 124847108.

Almost surely, 2^29089349136 is an apocalyptic number.

29089349136 is the 170556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29089349136

29089349136 is an abundant number, since it is smaller than the sum of its proper divisors (54033635991).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29089349136 is an equidigital number, since it uses as much as digits as its factorization.

29089349136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

It can be divided in two parts, 29089 and 349136, that added together give a square (378225 = 615²).

The spelling of 29089349136 in words is "twenty-nine billion, eighty-nine million, three hundred forty-nine thousand, one hundred thirty-six".