5456340046161 has 27 divisors (see below), whose sum is σ = 8144143609563. Its totient is φ = 3520079231760.

The previous prime is 5456340046153. The next prime is 5456340046249. The reversal of 5456340046161 is 1616400436545.

The square root of 5456340046161 is 2335881.

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

5456340046161 is a `hidden beast` number, since 5 + 4 + 5 + 634 + 0 + 0 + 4 + 6 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3216660185025 + 2239679861136 = 1793505^2 + 1496556^2 .

It is not a de Polignac number, because 5456340046161 - 2³ = 5456340046153 is a prime.

It is a super-2 number, since 2×5456340046161² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5456340046141) 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 26 ways as a sum of consecutive naturals, for example, 217224375 + ... + 217249491.

Almost surely, 2^{5456340046161} is an apocalyptic number.

5456340046161 is the 2335881-st square number.

5456340046161 is the 1167941-st centered octagonal number.

It is an amenable number.

5456340046161 is a deficient number, since it is larger than the sum of its proper divisors (2687803563402).

5456340046161 is an frugal number, since it uses more digits than its factorization.

5456340046161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50302 (or 25151 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 5456340046161 in words is "five trillion, four hundred fifty-six billion, three hundred forty million, forty-six thousand, one hundred sixty-one".