9369090900 has 432 divisors, whose sum is σ = 33397706160. Its totient is φ = 2180505600.

The previous prime is 9369090877. The next prime is 9369090937. The reversal of 9369090900 is 90909639.

It can be written as a sum of positive squares in 24 ways, for example, as 7487787024 + 1881303876 = 86532^2 + 43374^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17982640 + ... + 17983160.

It is an arithmetic number, because the mean of its divisors is an integer number (77309505).

Almost surely, 2^9369090900 is an apocalyptic number.

9369090900 is a gapful number since it is divisible by the number (90) 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 9369090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698853080).

9369090900 is an abundant number, since it is smaller than the sum of its proper divisors (24028615260).

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

9369090900 is a wasteful number, since it uses less digits than its factorization.

9369090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 9369090900 is about 96794.0643841346. The cubic root of 9369090900 is about 2108.1385543247.

The spelling of 9369090900 in words is "nine billion, three hundred sixty-nine million, ninety thousand, nine hundred".