29963153500849 has 2 divisors, whose sum is σ = 29963153500850. Its totient is φ = 29963153500848.

The previous prime is 29963153500783. The next prime is 29963153500933. The reversal of 29963153500849 is 94800535136992.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29393128500849 + 570025000000 = 5421543^2 + 755000^2 .

It is a cyclic number.

It is not a de Polignac number, because 29963153500849 - 2²⁷ = 29963019283121 is a prime.

It is not a weakly prime, because it can be changed into another prime (29963153540849) 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, 14981576750424 + 14981576750425.

It is an arithmetic number, because the mean of its divisors is an integer number (14981576750425).

Almost surely, 2^{29963153500849} is an apocalyptic number.

It is an amenable number.

29963153500849 is a deficient number, since it is larger than the sum of its proper divisors (1).

29963153500849 is an equidigital number, since it uses as much as digits as its factorization.

29963153500849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62985600, while the sum is 64.

The spelling of 29963153500849 in words is "twenty-nine trillion, nine hundred sixty-three billion, one hundred fifty-three million, five hundred thousand, eight hundred forty-nine".