29968433173 has 12 divisors (see below), whose sum is σ = 34896261612. Its totient is φ = 25661422080.

The previous prime is 29968433167. The next prime is 29968433177. The reversal of 29968433173 is 37133486992.

It can be written as a sum of positive squares in 2 ways, for example, as 27648373284 + 2320059889 = 166278^2 + 48167^2 .

It is not a de Polignac number, because 29968433173 - 2⁵ = 29968433141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29968433177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257868 + ... + 355573.

It is an arithmetic number, because the mean of its divisors is an integer number (2908021801).

Almost surely, 2^29968433173 is an apocalyptic number.

It is an amenable number.

29968433173 is a deficient number, since it is larger than the sum of its proper divisors (4927828439).

29968433173 is an equidigital number, since it uses as much as digits as its factorization.

29968433173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614452 (or 614445 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 55.

The spelling of 29968433173 in words is "twenty-nine billion, nine hundred sixty-eight million, four hundred thirty-three thousand, one hundred seventy-three".