10408254936769 has 2 divisors, whose sum is σ = 10408254936770. Its totient is φ = 10408254936768.

The previous prime is 10408254936767. The next prime is 10408254936857. The reversal of 10408254936769 is 96763945280401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7901653536144 + 2506601400625 = 2810988^2 + 1583225^2 .

It is a cyclic number.

It is not a de Polignac number, because 10408254936769 - 2¹ = 10408254936767 is a prime.

It is a super-3 number, since 3×10408254936769³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 10408254936767, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10408254936769.

It is not a weakly prime, because it can be changed into another prime (10408254936767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5204127468384 + 5204127468385.

It is an arithmetic number, because the mean of its divisors is an integer number (5204127468385).

It is a 1-persistent number, because it is pandigital, but 2⋅10408254936769 = 20816509873538 is not.

Almost surely, 2^{10408254936769} is an apocalyptic number.

It is an amenable number.

10408254936769 is a deficient number, since it is larger than the sum of its proper divisors (1).

10408254936769 is an equidigital number, since it uses as much as digits as its factorization.

10408254936769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 10408254936769 in words is "ten trillion, four hundred eight billion, two hundred fifty-four million, nine hundred thirty-six thousand, seven hundred sixty-nine".