29685688842241 has 2 divisors, whose sum is σ = 29685688842242. Its totient is φ = 29685688842240.

The previous prime is 29685688842181. The next prime is 29685688842269. The reversal of 29685688842241 is 14224888658692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29428411641616 + 257277200625 = 5424796^2 + 507225^2 .

It is a cyclic number.

It is not a de Polignac number, because 29685688842241 - 2⁷ = 29685688842113 is a prime.

It is not a weakly prime, because it can be changed into another prime (29685688846241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14842844421120 + 14842844421121.

It is an arithmetic number, because the mean of its divisors is an integer number (14842844421121).

Almost surely, 2^{29685688842241} is an apocalyptic number.

It is an amenable number.

29685688842241 is a deficient number, since it is larger than the sum of its proper divisors (1).

29685688842241 is an equidigital number, since it uses as much as digits as its factorization.

29685688842241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 849346560, while the sum is 73.

The spelling of 29685688842241 in words is "twenty-nine trillion, six hundred eighty-five billion, six hundred eighty-eight million, eight hundred forty-two thousand, two hundred forty-one".