8999682048000 has 864 divisors, whose sum is σ = 37086230039040. Its totient is φ = 2056834252800.

The previous prime is 8999682047981. The next prime is 8999682048029. The reversal of 8999682048000 is 8402869998.

8999682048000 is a `hidden beast` number, since 8 + 9 + 99 + 68 + 2 + 0 + 480 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032187641 + ... + 1032196359.

It is an arithmetic number, because the mean of its divisors is an integer number (42923877360).

Almost surely, 2^{8999682048000} is an apocalyptic number.

8999682048000 is a gapful number since it is divisible by the number (80) 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 8999682048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543115019520).

8999682048000 is an abundant number, since it is smaller than the sum of its proper divisors (28086547991040).

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

8999682048000 is an frugal number, since it uses more digits than its factorization.

8999682048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 8999682048000 in words is "eight trillion, nine hundred ninety-nine billion, six hundred eighty-two million, forty-eight thousand".