10045797881969 has 2 divisors, whose sum is σ = 10045797881970. Its totient is φ = 10045797881968.

The previous prime is 10045797881963. The next prime is 10045797881971. The reversal of 10045797881969 is 96918879754001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8771743894369 + 1274053987600 = 2961713^2 + 1128740^2 .

It is an emirp because it is prime and its reverse (96918879754001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10045797881969 - 2³² = 10041502914673 is a prime.

It is a super-2 number, since 2×10045797881969² (a number of 27 digits) contains 22 as substring.

Together with 10045797881971, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10045797881896 and 10045797881905.

It is not a weakly prime, because it can be changed into another prime (10045797881963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022898940984 + 5022898940985.

It is an arithmetic number, because the mean of its divisors is an integer number (5022898940985).

Almost surely, 2^{10045797881969} is an apocalyptic number.

It is an amenable number.

10045797881969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10045797881969 is an equidigital number, since it uses as much as digits as its factorization.

10045797881969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274337280, while the sum is 74.

The spelling of 10045797881969 in words is "ten trillion, forty-five billion, seven hundred ninety-seven million, eight hundred eighty-one thousand, nine hundred sixty-nine".