9271942848000 has 1920 divisors, whose sum is σ = 40534228500480. Its totient is φ = 1989859737600.

The previous prime is 9271942847987. The next prime is 9271942848031. The reversal of 9271942848000 is 8482491729.

9271942848000 is a `hidden beast` number, since 9 + 2 + 71 + 94 + 2 + 8 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×9271942848000² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 9729215524 + ... + 9729216476.

It is an arithmetic number, because the mean of its divisors is an integer number (21111577344).

Almost surely, 2^{9271942848000} is an apocalyptic number.

9271942848000 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 9271942848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267114250240).

9271942848000 is an abundant number, since it is smaller than the sum of its proper divisors (31262285652480).

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

9271942848000 is a wasteful number, since it uses less digits than its factorization.

9271942848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 9271942848000 in words is "nine trillion, two hundred seventy-one billion, nine hundred forty-two million, eight hundred forty-eight thousand".