9804388946688 has 864 divisors, whose sum is σ = 35006369448960. Its totient is φ = 2677531852800.

The previous prime is 9804388946687. The next prime is 9804388946699. The reversal of 9804388946688 is 8866498834089.

9804388946688 is a `hidden beast` number, since 9 + 8 + 0 + 438 + 89 + 46 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×9804388946688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (9804388946687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1275446781 + ... + 1275454467.

Almost surely, 2^{9804388946688} 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 9804388946688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503184724480).

9804388946688 is an abundant number, since it is smaller than the sum of its proper divisors (25201980502272).

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

9804388946688 is a wasteful number, since it uses less digits than its factorization.

9804388946688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 4586471424, while the sum is 81.

The spelling of 9804388946688 in words is "nine trillion, eight hundred four billion, three hundred eighty-eight million, nine hundred forty-six thousand, six hundred eighty-eight".