10774038158689 has 81 divisors (see below), whose sum is σ = 12532628998827. Its totient is φ = 9256635168768.

The previous prime is 10774038158683. The next prime is 10774038158743. The reversal of 10774038158689 is 98685183047701.

The square root of 10774038158689 is 3282383.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8888656518225 + 1885381640464 = 2981385^2 + 1373092^2 .

It is not a de Polignac number, because 10774038158689 - 2⁷ = 10774038158561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10774038158683) 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 80 ways as a sum of consecutive naturals, for example, 78642614229 + ... + 78642614365.

Almost surely, 2^{10774038158689} is an apocalyptic number.

10774038158689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10774038158689 is the 3282383-rd square number.

10774038158689 is the 1641192-nd centered octagonal number.

It is an amenable number.

10774038158689 is a deficient number, since it is larger than the sum of its proper divisors (1758590840138).

10774038158689 is an frugal number, since it uses more digits than its factorization.

10774038158689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 67.

The spelling of 10774038158689 in words is "ten trillion, seven hundred seventy-four billion, thirty-eight million, one hundred fifty-eight thousand, six hundred eighty-nine".