9210116804 has 48 divisors (see below), whose sum is σ = 18839224320. Its totient is φ = 3857652000.

The previous prime is 9210116789. The next prime is 9210116819. The reversal of 9210116804 is 4086110129.

9210116804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9210116789) and next prime (9210116819).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983657 + ... + 992975.

It is an arithmetic number, because the mean of its divisors is an integer number (392483840).

Almost surely, 2^9210116804 is an apocalyptic number.

9210116804 is a gapful number since it is divisible by the number (94) 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 9210116804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9419612160).

9210116804 is an abundant number, since it is smaller than the sum of its proper divisors (9629107516).

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

9210116804 is a wasteful number, since it uses less digits than its factorization.

9210116804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 9210116804 is about 95969.3534624465. The cubic root of 9210116804 is about 2096.1468880145.

The spelling of 9210116804 in words is "nine billion, two hundred ten million, one hundred sixteen thousand, eight hundred four".