8461836288 has 224 divisors, whose sum is σ = 25489326720. Its totient is φ = 2773647360.

The previous prime is 8461836287. The next prime is 8461836307. The reversal of 8461836288 is 8826381648.

8461836288 is a `hidden beast` number, since 8 + 4 + 6 + 1 + 8 + 3 + 628 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461836287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14819043 + ... + 14819613.

Almost surely, 2^8461836288 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 8461836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744663360).

8461836288 is an abundant number, since it is smaller than the sum of its proper divisors (17027490432).

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

8461836288 is an equidigital number, since it uses as much as digits as its factorization.

8461836288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 8461836288 is about 91988.2399440276. The cubic root of 8461836288 is about 2037.7686328683.

The spelling of 8461836288 in words is "eight billion, four hundred sixty-one million, eight hundred thirty-six thousand, two hundred eighty-eight".