10408816128769 has 2 divisors, whose sum is σ = 10408816128770. Its totient is φ = 10408816128768.

The previous prime is 10408816128749. The next prime is 10408816128847. The reversal of 10408816128769 is 96782161880401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10365920748225 + 42895380544 = 3219615^2 + 207112^2 .

It is a cyclic number.

It is not a de Polignac number, because 10408816128769 - 2¹¹ = 10408816126721 is a prime.

It is a super-2 number, since 2×10408816128769² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10408816128749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5204408064384 + 5204408064385.

It is an arithmetic number, because the mean of its divisors is an integer number (5204408064385).

Almost surely, 2^{10408816128769} is an apocalyptic number.

It is an amenable number.

10408816128769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10408816128769 is an equidigital number, since it uses as much as digits as its factorization.

10408816128769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9289728, while the sum is 61.

The spelling of 10408816128769 in words is "ten trillion, four hundred eight billion, eight hundred sixteen million, one hundred twenty-eight thousand, seven hundred sixty-nine".