11777683650769 has 9 divisors (see below), whose sum is σ = 11853720840987. Its totient is φ = 11702131186824.

The previous prime is 11777683650757. The next prime is 11777683650779. The reversal of 11777683650769 is 96705638677711.

The square root of 11777683650769 is 3431863.

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

11777683650769 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 only one way, i.e., 3452219740225 + 8325463910544 = 1858015^2 + 2885388^2 .

It is not a de Polignac number, because 11777683650769 - 2¹³ = 11777683642577 is a prime.

It is a super-2 number, since 2×11777683650769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11777683650779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 538791562 + ... + 538813420.

It is an arithmetic number, because the mean of its divisors is an integer number (1317080093443).

Almost surely, 2^{11777683650769} is an apocalyptic number.

11777683650769 is the 3431863-rd square number.

11777683650769 is the 1715932-nd centered octagonal number.

It is an amenable number.

11777683650769 is a deficient number, since it is larger than the sum of its proper divisors (76037190218).

11777683650769 is an frugal number, since it uses more digits than its factorization.

11777683650769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44032 (or 22016 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 73.

The spelling of 11777683650769 in words is "eleven trillion, seven hundred seventy-seven billion, six hundred eighty-three million, six hundred fifty thousand, seven hundred sixty-nine".