9006010000 has 225 divisors, whose sum is σ = 23938602039. Its totient is φ = 3279744000.

The previous prime is 9006009967. The next prime is 9006010009. The reversal of 9006010000 is 106009.

The square root of 9006010000 is 94900.

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

It can be written as a sum of positive squares in 22 ways, for example, as 6079632784 + 2926377216 = 77972^2 + 54096^2 .

It is a super-2 number, since 2×9006010000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9006010009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 123369964 + ... + 123370036.

Almost surely, 2^9006010000 is an apocalyptic number.

9006010000 is the 94900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9006010000

9006010000 is an abundant number, since it is smaller than the sum of its proper divisors (14932592039).

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

9006010000 is an equidigital number, since it uses as much as digits as its factorization.

9006010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 9006010000 is about 2080.5467312782.

Multiplying 9006010000 by its sum of digits (16), we get a square (144096160000 = 379600²).

9006010000 divided by its sum of digits (16) gives a square (562875625 = 23725²).

Adding to 9006010000 its reverse (106009), we get a palindrome (9006116009).

The spelling of 9006010000 in words is "nine billion, six million, ten thousand".