90009005449509 has 24 divisors (see below), whose sum is σ = 132218542684800. Its totient is φ = 58988094096960.

The previous prime is 90009005449507. The next prime is 90009005449537. The reversal of 90009005449509 is 90594450090009.

90009005449509 is a `hidden beast` number, since 9 + 0 + 0 + 0 + 9 + 0 + 0 + 544 + 95 + 0 + 9 = 666.

It is not a de Polignac number, because 90009005449509 - 2¹ = 90009005449507 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90009005449507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36358804 + ... + 38755394.

It is an arithmetic number, because the mean of its divisors is an integer number (5509105945200).

Almost surely, 2^{90009005449509} is an apocalyptic number.

It is an amenable number.

90009005449509 is a deficient number, since it is larger than the sum of its proper divisors (42209537235291).

90009005449509 is a wasteful number, since it uses less digits than its factorization.

90009005449509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467385 (or 2467382 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 90009005449509 in words is "ninety trillion, nine billion, five million, four hundred forty-nine thousand, five hundred nine".