2765166568641 has 9 divisors (see below), whose sum is σ = 3994136693859. Its totient is φ = 1843441053336.

The previous prime is 2765166568607. The next prime is 2765166568651. The reversal of 2765166568641 is 1468656615672.

It is a happy number.

The square root of 2765166568641 is 1662879.

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

2765166568641 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 1 + 6 + 6 + 568 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 656270111025 + 2108896457616 = 810105^2 + 1452204^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2765166568641 - 2¹⁷ = 2765166437569 is a prime.

It is a super-2 number, since 2×2765166568641² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2765166568601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4711491 + ... + 5265783.

Almost surely, 2^{2765166568641} is an apocalyptic number.

2765166568641 is the 1662879-th square number.

2765166568641 is the 831440-th centered octagonal number.

It is an amenable number.

2765166568641 is a deficient number, since it is larger than the sum of its proper divisors (1228970125218).

2765166568641 is an frugal number, since it uses more digits than its factorization.

2765166568641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108592 (or 554296 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 2765166568641 in words is "two trillion, seven hundred sixty-five billion, one hundred sixty-six million, five hundred sixty-eight thousand, six hundred forty-one".