11034893378161 has 27 divisors (see below), whose sum is σ = 11337651817219. Its totient is φ = 10740146198912.

The previous prime is 11034893378107. The next prime is 11034893378191. The reversal of 11034893378161 is 16187339843011.

The square root of 11034893378161 is 3321881.

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 10717969416561 + 316923961600 = 3273831^2 + 562960^2 .

It is not a de Polignac number, because 11034893378161 - 2¹¹ = 11034893376113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11034893378191) 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, 41021908335 + ... + 41021908603.

Almost surely, 2^{11034893378161} is an apocalyptic number.

11034893378161 is the 3321881-st square number.

11034893378161 is the 1660941-st centered octagonal number.

It is an amenable number.

11034893378161 is a deficient number, since it is larger than the sum of its proper divisors (302758439058).

11034893378161 is an frugal number, since it uses more digits than its factorization.

11034893378161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 11034893378161 in words is "eleven trillion, thirty-four billion, eight hundred ninety-three million, three hundred seventy-eight thousand, one hundred sixty-one".