1011808656769 has 9 divisors (see below), whose sum is σ = 1031313928323. Its totient is φ = 992665621272.

The previous prime is 1011808656763. The next prime is 1011808656779. The reversal of 1011808656769 is 9676568081101.

The square root of 1011808656769 is 1005887.

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

It can be written as a sum of positive squares in only one way, i.e., 729409943025 + 282398713744 = 854055^2 + 531412^2 .

It is not a de Polignac number, because 1011808656769 - 2²⁹ = 1011271785857 is a prime.

It is a super-2 number, since 2×1011808656769² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011808656763) 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 8 ways as a sum of consecutive naturals, for example, 53302522 + ... + 53321500.

Almost surely, 2^{1011808656769} is an apocalyptic number.

1011808656769 is the 1005887-th square number.

1011808656769 is the 502944-th centered octagonal number.

It is an amenable number.

1011808656769 is a deficient number, since it is larger than the sum of its proper divisors (19505271554).

1011808656769 is an frugal number, since it uses more digits than its factorization.

1011808656769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38064 (or 19032 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 1011808656769 in words is "one trillion, eleven billion, eight hundred eight million, six hundred fifty-six thousand, seven hundred sixty-nine".