29849974301169 has 225 divisors, whose sum is σ = 51094485821665. Its totient is φ = 17366103881280.

The previous prime is 29849974301159. The next prime is 29849974301177. The reversal of 29849974301169 is 96110347994892.

The square root of 29849974301169 is 5463513.

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

29849974301169 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 99 + 74 + 301 + 169 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6973956680625 + 22876017620544 = 2640825^2 + 4782888^2 .

It is not a de Polignac number, because 29849974301169 - 2¹⁹ = 29849973776881 is a prime.

It is a super-2 number, since 2×29849974301169² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29849974301097 and 29849974301106.

It is not an unprimeable number, because it can be changed into a prime (29849974301159) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 172543203967 + ... + 172543204139.

Almost surely, 2^{29849974301169} is an apocalyptic number.

29849974301169 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

29849974301169 is the 5463513-rd square number.

29849974301169 is the 2731757-th centered octagonal number.

It is an amenable number.

29849974301169 is a deficient number, since it is larger than the sum of its proper divisors (21244511520496).

29849974301169 is an frugal number, since it uses more digits than its factorization.

29849974301169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 29849974301169 in words is "twenty-nine trillion, eight hundred forty-nine billion, nine hundred seventy-four million, three hundred one thousand, one hundred sixty-nine".