29848123224089 has 2 divisors, whose sum is σ = 29848123224090. Its totient is φ = 29848123224088.

The previous prime is 29848123224079. The next prime is 29848123224131. The reversal of 29848123224089 is 98042232184892.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23241963864064 + 6606159360025 = 4820992^2 + 2570245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29848123224089 is a prime.

It is a super-2 number, since 2×29848123224089² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (29848123224079) 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, 14924061612044 + 14924061612045.

It is an arithmetic number, because the mean of its divisors is an integer number (14924061612045).

Almost surely, 2^{29848123224089} is an apocalyptic number.

It is an amenable number.

29848123224089 is a deficient number, since it is larger than the sum of its proper divisors (1).

29848123224089 is an equidigital number, since it uses as much as digits as its factorization.

29848123224089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31850496, while the sum is 62.

The spelling of 29848123224089 in words is "twenty-nine trillion, eight hundred forty-eight billion, one hundred twenty-three million, two hundred twenty-four thousand, eighty-nine".