10004198865761 has 2 divisors, whose sum is σ = 10004198865762. Its totient is φ = 10004198865760.

The previous prime is 10004198865743. The next prime is 10004198865841. The reversal of 10004198865761 is 16756889140001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5917756830736 + 4086442035025 = 2432644^2 + 2021495^2 .

It is a cyclic number.

It is not a de Polignac number, because 10004198865761 - 2⁶ = 10004198865697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10004198865697 and 10004198865706.

It is not a weakly prime, because it can be changed into another prime (10004198165761) 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, 5002099432880 + 5002099432881.

It is an arithmetic number, because the mean of its divisors is an integer number (5002099432881).

Almost surely, 2^{10004198865761} is an apocalyptic number.

It is an amenable number.

10004198865761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004198865761 is an equidigital number, since it uses as much as digits as its factorization.

10004198865761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 56.

The spelling of 10004198865761 in words is "ten trillion, four billion, one hundred ninety-eight million, eight hundred sixty-five thousand, seven hundred sixty-one".