8461881648 has 640 divisors, whose sum is σ = 30533760000. Its totient is φ = 2209628160.

The previous prime is 8461881641. The next prime is 8461881671.

It is a happy number.

8461881648 is a `hidden beast` number, since 8 + 4 + 618 + 8 + 16 + 4 + 8 = 666.

8461881648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8461881594 and 8461881603.

It is not an unprimeable number, because it can be changed into a prime (8461881641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56791078 + ... + 56791226.

It is an arithmetic number, because the mean of its divisors is an integer number (47709000).

Almost surely, 2^8461881648 is an apocalyptic number.

8461881648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8461881648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880000).

8461881648 is an abundant number, since it is smaller than the sum of its proper divisors (22071878352).

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

8461881648 is a wasteful number, since it uses less digits than its factorization.

8461881648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 8461881648 is about 91988.4864969524. The cubic root of 8461881648 is about 2037.7722740409.

The spelling of 8461881648 in words is "eight billion, four hundred sixty-one million, eight hundred eighty-one thousand, six hundred forty-eight".