9005343552 has 84 divisors (see below), whose sum is σ = 26702316420. Its totient is φ = 2898266112.

The previous prime is 9005343551. The next prime is 9005343553. The reversal of 9005343552 is 2553435009.

9005343552 is a `hidden beast` number, since 90 + 0 + 534 + 35 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9005343551) and next prime (9005343553).

It can be written as a sum of positive squares in 2 ways, for example, as 6498939456 + 2506404096 = 80616^2 + 50064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005343551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252853 + ... + 286260.

Almost surely, 2^9005343552 is an apocalyptic number.

It is an amenable number.

9005343552 is an abundant number, since it is smaller than the sum of its proper divisors (17696972868).

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

9005343552 is a wasteful number, since it uses less digits than its factorization.

9005343552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539160 (or 539147 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 9005343552 is about 94896.4886178619. The cubic root of 9005343552 is about 2080.4954096085.

The spelling of 9005343552 in words is "nine billion, five million, three hundred forty-three thousand, five hundred fifty-two".