9018009000000 has 3969 divisors, whose sum is σ = 44735174901963. Its totient is φ = 1729728000000.

The previous prime is 9018008999947. The next prime is 9018009000019. The reversal of 9018009000000 is 9008109.

The square root of 9018009000000 is 3003000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 4230524966976 + 4787484033024 = 2056824^2 + 2188032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 693692999994 + ... + 693693000006.

Almost surely, 2^{9018009000000} is an apocalyptic number.

9018009000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9018009000000 is the 3003000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9018009000000

9018009000000 is an abundant number, since it is smaller than the sum of its proper divisors (35717165901963).

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

9018009000000 is a wasteful number, since it uses less digits than its factorization.

9018009000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 9018009000000 in words is "nine trillion, eighteen billion, nine million", and thus it is an aban number and an uban number.