9001162512 has 90 divisors (see below), whose sum is σ = 25739040158. Its totient is φ = 2936445696.

The previous prime is 9001162487. The next prime is 9001162517. The reversal of 9001162512 is 2152611009.

9001162512 is a `hidden beast` number, since 90 + 0 + 1 + 1 + 62 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5883503616 + 3117658896 = 76704^2 + 55836^2 .

It is not an unprimeable number, because it can be changed into a prime (9001162517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 303948 + ... + 332244.

Almost surely, 2^9001162512 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 9001162512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869520079).

9001162512 is an abundant number, since it is smaller than the sum of its proper divisors (16737877646).

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

9001162512 is a wasteful number, since it uses less digits than its factorization.

9001162512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28405 (or 28349 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 9001162512 is about 94874.4565834240. The cubic root of 9001162512 is about 2080.1733792852.

The spelling of 9001162512 in words is "nine billion, one million, one hundred sixty-two thousand, five hundred twelve".