9000498225888 has 720 divisors, whose sum is σ = 29897029362816. Its totient is φ = 2652031549440.

The previous prime is 9000498225827. The next prime is 9000498225949. The reversal of 9000498225888 is 8885228940009.

9000498225888 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 49 + 8 + 2 + 2 + 588 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9000498225827) and next prime (9000498225949).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1317206920 + ... + 1317213752.

Almost surely, 2^{9000498225888} 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 9000498225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948514681408).

9000498225888 is an abundant number, since it is smaller than the sum of its proper divisors (20896531136928).

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

9000498225888 is a wasteful number, since it uses less digits than its factorization.

9000498225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 9000498225888 in words is "nine trillion, four hundred ninety-eight million, two hundred twenty-five thousand, eight hundred eighty-eight".