8649000000 has 441 divisors, whose sum is σ = 32019961233. Its totient is φ = 2232000000.

The previous prime is 8648999981. The next prime is 8649000023. The reversal of 8649000000 is 9468.

The square root of 8649000000 is 93000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 7577354304 + 1071645696 = 87048^2 + 32736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 278999985 + ... + 279000015.

Almost surely, 2^8649000000 is an apocalyptic number.

8649000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8649000000 is the 93000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8649000000

8649000000 is an abundant number, since it is smaller than the sum of its proper divisors (23370961233).

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

8649000000 is an frugal number, since it uses more digits than its factorization.

8649000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 8649000000 is about 2052.6833787405.

Adding to 8649000000 its reverse (9468), we get a palindrome (8649009468).

The spelling of 8649000000 in words is "eight billion, six hundred forty-nine million", and thus it is an aban number.