8461659648 has 240 divisors, whose sum is σ = 25097987376. Its totient is φ = 2530344960.

The previous prime is 8461659641. The next prime is 8461659649. The reversal of 8461659648 is 8469561648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461659641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9604168 + ... + 9605048.

Almost surely, 2^8461659648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12548993688).

8461659648 is an abundant number, since it is smaller than the sum of its proper divisors (16636327728).

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

8461659648 is a wasteful number, since it uses less digits than its factorization.

8461659648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 936 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 8461659648 is about 91987.2798162876. The cubic root of 8461659648 is about 2037.7544533631.

The spelling of 8461659648 in words is "eight billion, four hundred sixty-one million, six hundred fifty-nine thousand, six hundred forty-eight".