9001819008 has 960 divisors, whose sum is σ = 35456097600. Its totient is φ = 2243469312.

The previous prime is 9001819007. The next prime is 9001819009. The reversal of 9001819008 is 8009181009.

It is an interprime number because it is at equal distance from previous prime (9001819007) and next prime (9001819009).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001819007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 191528041 + ... + 191528087.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^9001819008 is an apocalyptic number.

9001819008 is a gapful number since it is divisible by the number (98) 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 9001819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728048800).

9001819008 is an abundant number, since it is smaller than the sum of its proper divisors (26454278592).

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

9001819008 is a wasteful number, since it uses less digits than its factorization.

9001819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 9001819008 is about 94877.9163346245. The cubic root of 9001819008 is about 2080.2239502457.

The spelling of 9001819008 in words is "nine billion, one million, eight hundred nineteen thousand, eight".