8461661648 has 30 divisors (see below), whose sum is σ = 18020371362. Its totient is φ = 3846208960.

The previous prime is 8461661623. The next prime is 8461661653.

8461661648 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 5451164224 + 3010497424 = 73832^2 + 54868^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8461661596 and 8461661605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2183411 + ... + 2187282.

Almost surely, 2^8461661648 is an apocalyptic number.

8461661648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8461661648 is an abundant number, since it is smaller than the sum of its proper divisors (9558709714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8461661648 is a wasteful number, since it uses less digits than its factorization.

8461661648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370723 (or 4370706 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 8461661648 is about 91987.2906873553. The cubic root of 8461661648 is about 2037.7546139111.

The spelling of 8461661648 in words is "eight billion, four hundred sixty-one million, six hundred sixty-one thousand, six hundred forty-eight".