29745793486993 has 2 divisors, whose sum is σ = 29745793486994. Its totient is φ = 29745793486992.

The previous prime is 29745793486961. The next prime is 29745793487099. The reversal of 29745793486993 is 39968439754792.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24889442500624 + 4856350986369 = 4988932^2 + 2203713^2 .

It is a cyclic number.

It is not a de Polignac number, because 29745793486993 - 2⁵ = 29745793486961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 29745793486993.

It is not a weakly prime, because it can be changed into another prime (29745793486393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14872896743496 + 14872896743497.

It is an arithmetic number, because the mean of its divisors is an integer number (14872896743497).

Almost surely, 2^{29745793486993} is an apocalyptic number.

It is an amenable number.

29745793486993 is a deficient number, since it is larger than the sum of its proper divisors (1).

29745793486993 is an equidigital number, since it uses as much as digits as its factorization.

29745793486993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 22221319680, while the sum is 85.

The spelling of 29745793486993 in words is "twenty-nine trillion, seven hundred forty-five billion, seven hundred ninety-three million, four hundred eighty-six thousand, nine hundred ninety-three".