10645440632417 has 2 divisors, whose sum is σ = 10645440632418. Its totient is φ = 10645440632416.

The previous prime is 10645440632399. The next prime is 10645440632423. The reversal of 10645440632417 is 71423604454601.

10645440632417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10637714925601 + 7725706816 = 3261551^2 + 87896^2 .

It is a cyclic number.

It is not a de Polignac number, because 10645440632417 - 2³⁴ = 10628260763233 is a prime.

It is a super-2 number, since 2×10645440632417² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10645440631417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5322720316208 + 5322720316209.

It is an arithmetic number, because the mean of its divisors is an integer number (5322720316209).

Almost surely, 2^{10645440632417} is an apocalyptic number.

It is an amenable number.

10645440632417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10645440632417 is an equidigital number, since it uses as much as digits as its factorization.

10645440632417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 10645440632417 in words is "ten trillion, six hundred forty-five billion, four hundred forty million, six hundred thirty-two thousand, four hundred seventeen".