9905331618000 has 1280 divisors, whose sum is σ = 44074545715200. Its totient is φ = 2070630604800.

The previous prime is 9905331617981. The next prime is 9905331618037. The reversal of 9905331618000 is 8161335099.

9905331618000 is a `hidden beast` number, since 9 + 90 + 533 + 16 + 18 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 535616754 + ... + 535635246.

It is an arithmetic number, because the mean of its divisors is an integer number (34433238840).

Almost surely, 2^{9905331618000} is an apocalyptic number.

9905331618000 is a gapful number since it is divisible by the number (90) 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 9905331618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037272857600).

9905331618000 is an abundant number, since it is smaller than the sum of its proper divisors (34169214097200).

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

9905331618000 is a wasteful number, since it uses less digits than its factorization.

9905331618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18654 (or 18632 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 9905331618000 in words is "nine trillion, nine hundred five billion, three hundred thirty-one million, six hundred eighteen thousand".