9225834856992 has 768 divisors, whose sum is σ = 31023820800000. Its totient is φ = 2645656473600.

The previous prime is 9225834856933. The next prime is 9225834856993. The reversal of 9225834856992 is 2996584385229.

9225834856992 is a `hidden beast` number, since 9 + 2 + 2 + 5 + 83 + 485 + 69 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9225834856992.

It is not an unprimeable number, because it can be changed into a prime (9225834856993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5038685517 + ... + 5038687347.

It is an arithmetic number, because the mean of its divisors is an integer number (40395600000).

Almost surely, 2^{9225834856992} 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 9225834856992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511910400000).

9225834856992 is an abundant number, since it is smaller than the sum of its proper divisors (21797985943008).

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

9225834856992 is a wasteful number, since it uses less digits than its factorization.

9225834856992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2408 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 9225834856992 in words is "nine trillion, two hundred twenty-five billion, eight hundred thirty-four million, eight hundred fifty-six thousand, nine hundred ninety-two".