10268096045769 has 21 divisors (see below), whose sum is σ = 15395231198199. Its totient is φ = 6845339684880.

The previous prime is 10268096045747. The next prime is 10268096045807. The reversal of 10268096045769 is 96754069086201.

The square root of 10268096045769 is 3204387.

It is a perfect power (a square), and thus also a powerful number.

10268096045769 is a `hidden beast` number, since 1 + 0 + 2 + 68 + 0 + 9 + 60 + 457 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1324886175369 + 8943209870400 = 1151037^2 + 2990520^2 .

It is not a de Polignac number, because 10268096045769 - 2⁵ = 10268096045737 is a prime.

It is a super-2 number, since 2×10268096045769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10268096045969) 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 in 20 ways as a sum of consecutive naturals, for example, 86459109 + ... + 86577789.

Almost surely, 2^{10268096045769} is an apocalyptic number.

10268096045769 is the 3204387-th square number.

10268096045769 is the 1602194-th centered octagonal number.

It is an amenable number.

10268096045769 is a deficient number, since it is larger than the sum of its proper divisors (5127135152430).

10268096045769 is an frugal number, since it uses more digits than its factorization.

10268096045769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237380 (or 118684 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10268096045769 in words is "ten trillion, two hundred sixty-eight billion, ninety-six million, forty-five thousand, seven hundred sixty-nine".