10773775569649 has 27 divisors (see below), whose sum is σ = 11668023516513. Its totient is φ = 9945971947392.

The previous prime is 10773775569647. The next prime is 10773775569671. The reversal of 10773775569649 is 94696557737701.

The square root of 10773775569649 is 3282343.

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

10773775569649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2699425998049 + 8074349571600 = 1642993^2 + 2841540^2 .

It is not a de Polignac number, because 10773775569649 - 2¹ = 10773775569647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10773775569647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2957389222 + ... + 2957392864.

Almost surely, 2^{10773775569649} is an apocalyptic number.

10773775569649 is the 3282343-rd square number.

10773775569649 is the 1641172-nd centered octagonal number.

It is an amenable number.

10773775569649 is a deficient number, since it is larger than the sum of its proper divisors (894247946864).

10773775569649 is an frugal number, since it uses more digits than its factorization.

10773775569649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 2100394800, while the sum is 76.

It can be divided in two parts, 10773775 and 569649, that added together give a square (11343424 = 3368²).

The spelling of 10773775569649 in words is "ten trillion, seven hundred seventy-three billion, seven hundred seventy-five million, five hundred sixty-nine thousand, six hundred forty-nine".