847561438161 has 9 divisors (see below), whose sum is σ = 1224259400091. Its totient is φ = 565039117512.

The previous prime is 847561438133. The next prime is 847561438211. The reversal of 847561438161 is 161834165748.

The square root of 847561438161 is 920631.

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

847561438161 is a `hidden beast` number, since 8 + 4 + 7 + 5 + 614 + 3 + 8 + 16 + 1 = 666.

847561438161 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., 788144450625 + 59416987536 = 887775^2 + 243756^2 .

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

It is not a de Polignac number, because 847561438161 - 2⁷ = 847561438033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 847561438098 and 847561438107.

It is not an unprimeable number, because it can be changed into a prime (847561438261) 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, 2608455 + ... + 2915331.

Almost surely, 2^847561438161 is an apocalyptic number.

847561438161 is the 920631-st square number.

847561438161 is the 460316-th centered octagonal number.

It is an amenable number.

847561438161 is a deficient number, since it is larger than the sum of its proper divisors (376697961930).

847561438161 is an frugal number, since it uses more digits than its factorization.

847561438161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613760 (or 306880 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 847561438161 in words is "eight hundred forty-seven billion, five hundred sixty-one million, four hundred thirty-eight thousand, one hundred sixty-one".