29137468838917 has 2 divisors, whose sum is σ = 29137468838918. Its totient is φ = 29137468838916.

The previous prime is 29137468838903. The next prime is 29137468838981. The reversal of 29137468838917 is 71983886473192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20609865756481 + 8527603082436 = 4539809^2 + 2920206^2 .

It is a cyclic number.

It is not a de Polignac number, because 29137468838917 - 2⁷ = 29137468838789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29137468830917) 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 as a sum of consecutive naturals, namely, 14568734419458 + 14568734419459.

It is an arithmetic number, because the mean of its divisors is an integer number (14568734419459).

Almost surely, 2^{29137468838917} is an apocalyptic number.

It is an amenable number.

29137468838917 is a deficient number, since it is larger than the sum of its proper divisors (1).

29137468838917 is an equidigital number, since it uses as much as digits as its factorization.

29137468838917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 877879296, while the sum is 76.

The spelling of 29137468838917 in words is "twenty-nine trillion, one hundred thirty-seven billion, four hundred sixty-eight million, eight hundred thirty-eight thousand, nine hundred seventeen".