10664166364361 has 2 divisors, whose sum is σ = 10664166364362. Its totient is φ = 10664166364360.

The previous prime is 10664166364273. The next prime is 10664166364421. The reversal of 10664166364361 is 16346366146601.

10664166364361 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., 9339869454400 + 1324296909961 = 3056120^2 + 1150781^2 .

It is a cyclic number.

It is not a de Polignac number, because 10664166364361 - 2¹⁴ = 10664166347977 is a prime.

It is a super-2 number, since 2×10664166364361² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10664166364561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5332083182180 + 5332083182181.

It is an arithmetic number, because the mean of its divisors is an integer number (5332083182181).

Almost surely, 2^{10664166364361} is an apocalyptic number.

It is an amenable number.

10664166364361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10664166364361 is an equidigital number, since it uses as much as digits as its factorization.

10664166364361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6718464, while the sum is 53.

The spelling of 10664166364361 in words is "ten trillion, six hundred sixty-four billion, one hundred sixty-six million, three hundred sixty-four thousand, three hundred sixty-one".