9200298816 has 504 divisors, whose sum is σ = 30654711360. Its totient is φ = 2729852928.

The previous prime is 9200298797. The next prime is 9200298817. The reversal of 9200298816 is 6188920029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9200298817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103374100 + ... + 103374188.

It is an arithmetic number, because the mean of its divisors is an integer number (60822840).

Almost surely, 2^9200298816 is an apocalyptic number.

9200298816 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 9200298816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327355680).

9200298816 is an abundant number, since it is smaller than the sum of its proper divisors (21454412544).

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

9200298816 is a wasteful number, since it uses less digits than its factorization.

9200298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9200298816 is about 95918.1881396850. The cubic root of 9200298816 is about 2095.4017920688.

The spelling of 9200298816 in words is "nine billion, two hundred million, two hundred ninety-eight thousand, eight hundred sixteen".