10045164884717 has 2 divisors, whose sum is σ = 10045164884718. Its totient is φ = 10045164884716.

The previous prime is 10045164884621. The next prime is 10045164884743. The reversal of 10045164884717 is 71748846154001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8084588042281 + 1960576842436 = 2843341^2 + 1400206^2 .

It is a cyclic number.

It is not a de Polignac number, because 10045164884717 - 2¹⁸ = 10045164622573 is a prime.

It is a super-2 number, since 2×10045164884717² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10045164884617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022582442358 + 5022582442359.

It is an arithmetic number, because the mean of its divisors is an integer number (5022582442359).

Almost surely, 2^{10045164884717} is an apocalyptic number.

It is an amenable number.

10045164884717 is a deficient number, since it is larger than the sum of its proper divisors (1).

10045164884717 is an equidigital number, since it uses as much as digits as its factorization.

10045164884717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6021120, while the sum is 56.

The spelling of 10045164884717 in words is "ten trillion, forty-five billion, one hundred sixty-four million, eight hundred eighty-four thousand, seven hundred seventeen".