4686648561 has 72 divisors (see below), whose sum is σ = 8141088384. Its totient is φ = 2588846400.

The previous prime is 4686648523. The next prime is 4686648563. The reversal of 4686648561 is 1658466864.

4686648561 is a `hidden beast` number, since 46 + 8 + 66 + 485 + 61 = 666.

It is not a de Polignac number, because 4686648561 - 2¹⁵ = 4686615793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4686648498 and 4686648507.

It is not an unprimeable number, because it can be changed into a prime (4686648563) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1914040 + ... + 1916486.

It is an arithmetic number, because the mean of its divisors is an integer number (113070672).

Almost surely, 2^4686648561 is an apocalyptic number.

It is an amenable number.

4686648561 is a deficient number, since it is larger than the sum of its proper divisors (3454439823).

4686648561 is a wasteful number, since it uses less digits than its factorization.

4686648561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2601 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 4686648561 is about 68459.1013744703. The cubic root of 4686648561 is about 1673.4810390569.

The spelling of 4686648561 in words is "four billion, six hundred eighty-six million, six hundred forty-eight thousand, five hundred sixty-one".