9284735616 has 192 divisors, whose sum is σ = 26892479520. Its totient is φ = 2836893696.

The previous prime is 9284735591. The next prime is 9284735627. The reversal of 9284735616 is 6165374829.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11226595 + ... + 11227421.

Almost surely, 2^9284735616 is an apocalyptic number.

9284735616 is a gapful number since it is divisible by the number (96) 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 9284735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13446239760).

9284735616 is an abundant number, since it is smaller than the sum of its proper divisors (17607743904).

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

9284735616 is a wasteful number, since it uses less digits than its factorization.

9284735616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1018 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 9284735616 is about 96357.3329643365. The cubic root of 9284735616 is about 2101.7925447449.

The spelling of 9284735616 in words is "nine billion, two hundred eighty-four million, seven hundred thirty-five thousand, six hundred sixteen".