29745793486961 has 2 divisors, whose sum is σ = 29745793486962. Its totient is φ = 29745793486960.

The previous prime is 29745793486949. The next prime is 29745793486993. The reversal of 29745793486961 is 16968439754792.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25684178017936 + 4061615469025 = 5067956^2 + 2015345^2 .

It is a cyclic number.

It is not a de Polignac number, because 29745793486961 - 2¹⁴ = 29745793470577 is a prime.

It is not a weakly prime, because it can be changed into another prime (29745793486361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14872896743480 + 14872896743481.

It is an arithmetic number, because the mean of its divisors is an integer number (14872896743481).

Almost surely, 2^{29745793486961} is an apocalyptic number.

It is an amenable number.

29745793486961 is a deficient number, since it is larger than the sum of its proper divisors (1).

29745793486961 is an equidigital number, since it uses as much as digits as its factorization.

29745793486961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4938071040, while the sum is 80.

The spelling of 29745793486961 in words is "twenty-nine trillion, seven hundred forty-five billion, seven hundred ninety-three million, four hundred eighty-six thousand, nine hundred sixty-one".