9000001000008 has 192 divisors, whose sum is σ = 24848582718960. Its totient is φ = 2942391287808.

The previous prime is 9000000999971. The next prime is 9000001000057. The reversal of 9000001000008 is 8000001000009.

9000001000008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8755195730724 + 244805269284 = 2958918^2 + 494778^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353580210 + ... + 353605662.

Almost surely, 2^{9000001000008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000001000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424291359480).

9000001000008 is an abundant number, since it is smaller than the sum of its proper divisors (15848581718952).

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

9000001000008 is a wasteful number, since it uses less digits than its factorization.

9000001000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26016 (or 26009 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Subtracting from 9000001000008 its reverse (8000001000009), we obtain a palindrome (999999999999).

The spelling of 9000001000008 in words is "nine trillion, one million, eight", and thus it is an aban number and an uban number.