9008041088 has 24 divisors (see below), whose sum is σ = 17947846305. Its totient is φ = 4503483648.

The previous prime is 9008041087. The next prime is 9008041139. The reversal of 9008041088 is 8801408009.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7563433024 + 1444608064 = 86968^2 + 38008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=67112.

It is a super-2 number, since 2×9008041088² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9008041087) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1069598 + ... + 1077986.

Almost surely, 2^9008041088 is an apocalyptic number.

It is an amenable number.

9008041088 is a deficient number, since it is larger than the sum of its proper divisors (8939805217).

9008041088 is an frugal number, since it uses more digits than its factorization.

9008041088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16792 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 9008041088 is about 94910.7005979832. The cubic root of 9008041088 is about 2080.7031252072.

Multiplying 9008041088 by its product of nonzero digits (18432), we get a square (166036213334016 = 12885504²).

The spelling of 9008041088 in words is "nine billion, eight million, forty-one thousand, eighty-eight".