29943879849 has 189 divisors, whose sum is σ = 53484480543. Its totient is φ = 16745025024.

The previous prime is 29943879811. The next prime is 29943879851. The reversal of 29943879849 is 94897834992.

The square root of 29943879849 is 173043.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17084319849 + 12859560000 = 130707^2 + 113400^2 .

It is not a de Polignac number, because 29943879849 - 2⁹ = 29943879337 is a prime.

It is a super-2 number, since 2×29943879849² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29943879809) 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 188 ways as a sum of consecutive naturals, for example, 1032547567 + ... + 1032547595.

Almost surely, 2^29943879849 is an apocalyptic number.

29943879849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

29943879849 is the 173043-rd square number.

29943879849 is the 86522-nd centered octagonal number.

It is an amenable number.

29943879849 is a deficient number, since it is larger than the sum of its proper divisors (23540600694).

29943879849 is an equidigital number, since it uses as much as digits as its factorization.

29943879849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 62 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 29943879849 in words is "twenty-nine billion, nine hundred forty-three million, eight hundred seventy-nine thousand, eight hundred forty-nine".