29745286817 has 2 divisors, whose sum is σ = 29745286818. Its totient is φ = 29745286816.

The previous prime is 29745286807. The next prime is 29745286819. The reversal of 29745286817 is 71868254792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22728879121 + 7016407696 = 150761^2 + 83764^2 .

It is a cyclic number.

It is not a de Polignac number, because 29745286817 - 2⁸ = 29745286561 is a prime.

Together with 29745286819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (29745286819) 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 as a sum of consecutive naturals, namely, 14872643408 + 14872643409.

It is an arithmetic number, because the mean of its divisors is an integer number (14872643409).

Almost surely, 2^29745286817 is an apocalyptic number.

It is an amenable number.

29745286817 is a deficient number, since it is larger than the sum of its proper divisors (1).

29745286817 is an equidigital number, since it uses as much as digits as its factorization.

29745286817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13547520, while the sum is 59.

The spelling of 29745286817 in words is "twenty-nine billion, seven hundred forty-five million, two hundred eighty-six thousand, eight hundred seventeen".