9381281875920 has 480 divisors, whose sum is σ = 34376706000000. Its totient is φ = 2283649708032.

The previous prime is 9381281875883. The next prime is 9381281875997. The reversal of 9381281875920 is 295781821839.

9381281875920 is a `hidden beast` number, since 9 + 3 + 8 + 1 + 28 + 18 + 7 + 592 + 0 = 666.

9381281875920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9381281875920³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197939586 + ... + 197986974.

It is an arithmetic number, because the mean of its divisors is an integer number (71618137500).

Almost surely, 2^{9381281875920} is an apocalyptic number.

9381281875920 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 9381281875920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188353000000).

9381281875920 is an abundant number, since it is smaller than the sum of its proper divisors (24995424124080).

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

9381281875920 is a wasteful number, since it uses less digits than its factorization.

9381281875920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47955 (or 47946 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 9381281875920 in words is "nine trillion, three hundred eighty-one billion, two hundred eighty-one million, eight hundred seventy-five thousand, nine hundred twenty".