9230284800000 has 1440 divisors, whose sum is σ = 37351989319680. Its totient is φ = 2233958400000.

The previous prime is 9230284799951. The next prime is 9230284800007. The reversal of 9230284800000 is 84820329.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×9230284800000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9230284800007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15206399697 + ... + 15206400303.

It is an arithmetic number, because the mean of its divisors is an integer number (25938881472).

Almost surely, 2^{9230284800000} is an apocalyptic number.

9230284800000 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 9230284800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675994659840).

9230284800000 is an abundant number, since it is smaller than the sum of its proper divisors (28121704519680).

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

9230284800000 is an frugal number, since it uses more digits than its factorization.

9230284800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 9230284800000 in words is "nine trillion, two hundred thirty billion, two hundred eighty-four million, eight hundred thousand".