9005633149 has 16 divisors (see below), whose sum is σ = 9304606080. Its totient is φ = 8710723840.

The previous prime is 9005633017. The next prime is 9005633173. The reversal of 9005633149 is 9413365009.

9005633149 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9005633149 - 2²¹ = 9003535997 is a prime.

It is a super-2 number, since 2×9005633149² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005633449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3031737 + ... + 3034705.

It is an arithmetic number, because the mean of its divisors is an integer number (581537880).

Almost surely, 2^9005633149 is an apocalyptic number.

It is an amenable number.

9005633149 is a deficient number, since it is larger than the sum of its proper divisors (298972931).

9005633149 is a wasteful number, since it uses less digits than its factorization.

9005633149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620.

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 9005633149 is about 94898.0144628959. The cubic root of 9005633149 is about 2080.5177111368.

The spelling of 9005633149 in words is "nine billion, five million, six hundred thirty-three thousand, one hundred forty-nine".