9845558468928 has 1792 divisors, whose sum is σ = 38365200384000. Its totient is φ = 2456598896640.

The previous prime is 9845558468927. The next prime is 9845558468951. The reversal of 9845558468928 is 8298648555489.

It is a happy number.

9845558468928 is a `hidden beast` number, since 9 + 8 + 4 + 5 + 5 + 584 + 6 + 8 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845558468927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11226406026 + ... + 11226406902.

It is an arithmetic number, because the mean of its divisors is an integer number (21409152000).

Almost surely, 2^{9845558468928} is an apocalyptic number.

9845558468928 is a gapful number since it is divisible by the number (98) 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 9845558468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182600192000).

9845558468928 is an abundant number, since it is smaller than the sum of its proper divisors (28519641915072).

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

9845558468928 is a wasteful number, since it uses less digits than its factorization.

9845558468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 980 counting only the distinct ones).

The product of its digits is 7962624000, while the sum is 81.

The spelling of 9845558468928 in words is "nine trillion, eight hundred forty-five billion, five hundred fifty-eight million, four hundred sixty-eight thousand, nine hundred twenty-eight".