9284838474912 has 1728 divisors, whose sum is σ = 35471307352320. Its totient is φ = 2101986754560.

The previous prime is 9284838474881. The next prime is 9284838474941. The reversal of 9284838474912 is 2194748384829.

It is a happy number.

9284838474912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15146555118 + ... + 15146555730.

It is an arithmetic number, because the mean of its divisors is an integer number (20527376940).

Almost surely, 2^{9284838474912} is an apocalyptic number.

9284838474912 is a gapful number since it is divisible by the number (92) 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 9284838474912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735653676160).

9284838474912 is an abundant number, since it is smaller than the sum of its proper divisors (26186468877408).

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

9284838474912 is a wasteful number, since it uses less digits than its factorization.

9284838474912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 761 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 69.

The spelling of 9284838474912 in words is "nine trillion, two hundred eighty-four billion, eight hundred thirty-eight million, four hundred seventy-four thousand, nine hundred twelve".