10009992611417 has 2 divisors, whose sum is σ = 10009992611418. Its totient is φ = 10009992611416.

The previous prime is 10009992611393. The next prime is 10009992611431. The reversal of 10009992611417 is 71411629990001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8155428004441 + 1854564606976 = 2855771^2 + 1361824^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009992611417 - 2¹⁴ = 10009992595033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10009992610417) 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, 5004996305708 + 5004996305709.

It is an arithmetic number, because the mean of its divisors is an integer number (5004996305709).

Almost surely, 2^{10009992611417} is an apocalyptic number.

It is an amenable number.

10009992611417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009992611417 is an equidigital number, since it uses as much as digits as its factorization.

10009992611417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 244944, while the sum is 50.

The spelling of 10009992611417 in words is "ten trillion, nine billion, nine hundred ninety-two million, six hundred eleven thousand, four hundred seventeen".