9981845176320 has 864 divisors, whose sum is σ = 36251331846912. Its totient is φ = 2538074013696.

The previous prime is 9981845176291. The next prime is 9981845176343. The reversal of 9981845176320 is 236715481899.

9981845176320 is a `hidden beast` number, since 9 + 9 + 8 + 1 + 84 + 517 + 6 + 32 + 0 = 666.

It is a congruent number.

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, 11566448209 + ... + 11566449071.

It is an arithmetic number, because the mean of its divisors is an integer number (41957560008).

It is a 1-persistent number, because it is pandigital, but 2⋅9981845176320 = 19963690352640 is not.

Almost surely, 2^{9981845176320} is an apocalyptic number.

9981845176320 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 9981845176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125665923456).

9981845176320 is an abundant number, since it is smaller than the sum of its proper divisors (26269486670592).

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

9981845176320 is an equidigital number, since it uses as much as digits as its factorization.

9981845176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 9981845176320 in words is "nine trillion, nine hundred eighty-one billion, eight hundred forty-five million, one hundred seventy-six thousand, three hundred twenty".