10164672244049 has 2 divisors, whose sum is σ = 10164672244050. Its totient is φ = 10164672244048.

The previous prime is 10164672244039. The next prime is 10164672244099. The reversal of 10164672244049 is 94044227646101.

It is an a-pointer prime, because the next prime (10164672244099) can be obtained adding 10164672244049 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8273717229649 + 1890955014400 = 2876407^2 + 1375120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10164672244049 - 2⁸ = 10164672243793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10164672243988 and 10164672244006.

It is not a weakly prime, because it can be changed into another prime (10164672244039) 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, 5082336122024 + 5082336122025.

It is an arithmetic number, because the mean of its divisors is an integer number (5082336122025).

Almost surely, 2^{10164672244049} is an apocalyptic number.

It is an amenable number.

10164672244049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164672244049 is an equidigital number, since it uses as much as digits as its factorization.

10164672244049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 10164672244049 in words is "ten trillion, one hundred sixty-four billion, six hundred seventy-two million, two hundred forty-four thousand, forty-nine".