45846946161 has 45 divisors (see below), whose sum is σ = 70498090971. Its totient is φ = 29692309968.

The previous prime is 45846946151. The next prime is 45846946163. The reversal of 45846946161 is 16164964854.

The square root of 45846946161 is 214119.

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

45846946161 is a `hidden beast` number, since 4 + 584 + 6 + 9 + 46 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41024477025 + 4822469136 = 202545^2 + 69444^2 .

It is not a de Polignac number, because 45846946161 - 2²⁹ = 45310075249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45846946098 and 45846946107.

It is not an unprimeable number, because it can be changed into a prime (45846946163) 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 44 ways as a sum of consecutive naturals, for example, 71301306 + ... + 71301948.

Almost surely, 2^45846946161 is an apocalyptic number.

45846946161 is the 214119-th square number.

45846946161 is the 107060-th centered octagonal number.

It is an amenable number.

45846946161 is a deficient number, since it is larger than the sum of its proper divisors (24651144810).

45846946161 is an frugal number, since it uses more digits than its factorization.

45846946161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 683 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 45846946161 in words is "forty-five billion, eight hundred forty-six million, nine hundred forty-six thousand, one hundred sixty-one".