8949308332608 has 672 divisors, whose sum is σ = 31933723361280. Its totient is φ = 2338398720000.

The previous prime is 8949308332583. The next prime is 8949308332609. The reversal of 8949308332608 is 8062338039498.

8949308332608 is a `hidden beast` number, since 8 + 9 + 493 + 0 + 83 + 3 + 2 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8949308332609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999806533 + ... + 999815483.

Almost surely, 2^{8949308332608} 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 8949308332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966861680640).

8949308332608 is an abundant number, since it is smaller than the sum of its proper divisors (22984415028672).

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

8949308332608 is a wasteful number, since it uses less digits than its factorization.

8949308332608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 8949308332608 in words is "eight trillion, nine hundred forty-nine billion, three hundred eight million, three hundred thirty-two thousand, six hundred eight".