9200850816 has 128 divisors (see below), whose sum is σ = 25936070400. Its totient is φ = 2883719168.

The previous prime is 9200850803. The next prime is 9200850853. The reversal of 9200850816 is 6180580029.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512260 + ... + 529916.

It is an arithmetic number, because the mean of its divisors is an integer number (202625550).

Almost surely, 2^9200850816 is an apocalyptic number.

9200850816 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 9200850816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968035200).

9200850816 is an abundant number, since it is smaller than the sum of its proper divisors (16735219584).

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

9200850816 is a wasteful number, since it uses less digits than its factorization.

9200850816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17756 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 9200850816 is about 95921.0655487104. The cubic root of 9200850816 is about 2095.4436979054.

It can be divided in two parts, 9200 and 850816, that added together give a triangular number (860016 = T₁₃₁₁).

The spelling of 9200850816 in words is "nine billion, two hundred million, eight hundred fifty thousand, eight hundred sixteen".