8461221648 has 80 divisors (see below), whose sum is σ = 23947949376. Its totient is φ = 2552965120.

The previous prime is 8461221647. The next prime is 8461221653.

8461221648 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (8461221647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88636 + ... + 157412.

Almost surely, 2^8461221648 is an apocalyptic number.

8461221648 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 8461221648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973974688).

8461221648 is an abundant number, since it is smaller than the sum of its proper divisors (15486727728).

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

8461221648 is a wasteful number, since it uses less digits than its factorization.

8461221648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69032 (or 69026 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 8461221648 is about 91984.8990215242. The cubic root of 8461221648 is about 2037.7192927331.

The spelling of 8461221648 in words is "eight billion, four hundred sixty-one million, two hundred twenty-one thousand, six hundred forty-eight".