9004918993 has 24 divisors (see below), whose sum is σ = 10804900392. Its totient is φ = 7477311744.

The previous prime is 9004918981. The next prime is 9004918999. The reversal of 9004918993 is 3998194009.

9004918993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5057058769 + 3947860224 = 71113^2 + 62832^2 .

It is not a de Polignac number, because 9004918993 - 2⁵ = 9004918961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9004918993.

It is not an unprimeable number, because it can be changed into a prime (9004918999) 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, 411771 + ... + 433087.

It is an arithmetic number, because the mean of its divisors is an integer number (450204183).

Almost surely, 2^9004918993 is an apocalyptic number.

It is an amenable number.

9004918993 is a deficient number, since it is larger than the sum of its proper divisors (1799981399).

9004918993 is a wasteful number, since it uses less digits than its factorization.

9004918993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21601 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 9004918993 is about 94894.2516330678. The cubic root of 9004918993 is about 2080.4627139493.

The spelling of 9004918993 in words is "nine billion, four million, nine hundred eighteen thousand, nine hundred ninety-three".