9030000960016 has 135 divisors (see below), whose sum is σ = 18547725311661. Its totient is φ = 4258536091392.

The previous prime is 9030000959981. The next prime is 9030000960017. The reversal of 9030000960016 is 6100690000309.

The square root of 9030000960016 is 3004996.

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

It can be written as a sum of positive squares in only one way, i.e., 1733951705616 + 7296049254400 = 1316796^2 + 2701120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9030000960017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24604907065 + ... + 24604907431.

Almost surely, 2^{9030000960016} is an apocalyptic number.

9030000960016 is the 3004996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9030000960016

9030000960016 is an abundant number, since it is smaller than the sum of its proper divisors (9517724351645).

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

9030000960016 is an frugal number, since it uses more digits than its factorization.

9030000960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The spelling of 9030000960016 in words is "nine trillion, thirty billion, nine hundred sixty thousand, sixteen".