29849127361 has 9 divisors (see below), whose sum is σ = 30035663049. Its totient is φ = 29663746224.

The previous prime is 29849127353. The next prime is 29849127389. The reversal of 29849127361 is 16372194892.

The square root of 29849127361 is 172769.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21676967361 + 8172160000 = 147231^2 + 90400^2 .

It is not a de Polignac number, because 29849127361 - 2³ = 29849127353 is a prime.

It is a super-4 number, since 4×29849127361⁴ (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29849127299 and 29849127308.

It is not an unprimeable number, because it can be changed into a prime (29849127961) 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, 34035055 + ... + 34035931.

Almost surely, 2^29849127361 is an apocalyptic number.

29849127361 is the 172769-th square number.

29849127361 is the 86385-th centered octagonal number.

It is an amenable number.

29849127361 is a deficient number, since it is larger than the sum of its proper divisors (186535688).

29849127361 is an frugal number, since it uses more digits than its factorization.

29849127361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1074 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 29849127361 in words is "twenty-nine billion, eight hundred forty-nine million, one hundred twenty-seven thousand, three hundred sixty-one".