9249855892992 has 2560 divisors, whose sum is σ = 36000035850240. Its totient is φ = 2300879831040.

The previous prime is 9249855892943. The next prime is 9249855892999. The reversal of 9249855892992 is 2992985589429.

9249855892992 is a `hidden beast` number, since 9 + 2 + 4 + 9 + 8 + 5 + 589 + 29 + 9 + 2 = 666.

It is a super-2 number, since 2×9249855892992² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9249855892999) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53467375018 + ... + 53467375190.

It is an arithmetic number, because the mean of its divisors is an integer number (14062514004).

Almost surely, 2^{9249855892992} 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 9249855892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000017925120).

9249855892992 is an abundant number, since it is smaller than the sum of its proper divisors (26750179957248).

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

9249855892992 is a wasteful number, since it uses less digits than its factorization.

9249855892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 81.

The spelling of 9249855892992 in words is "nine trillion, two hundred forty-nine billion, eight hundred fifty-five million, eight hundred ninety-two thousand, nine hundred ninety-two".