9004444121 has 2 divisors, whose sum is σ = 9004444122. Its totient is φ = 9004444120.

The previous prime is 9004444091. The next prime is 9004444151. The reversal of 9004444121 is 1214444009.

9004444121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (9004444091) and next prime (9004444151).

It can be written as a sum of positive squares in only one way, i.e., 4738394896 + 4266049225 = 68836^2 + 65315^2 .

It is an emirp because it is prime and its reverse (1214444009) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9004444121 is a prime.

It is a super-2 number, since 2×9004444121² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9004444151) 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 as a sum of consecutive naturals, namely, 4502222060 + 4502222061.

It is an arithmetic number, because the mean of its divisors is an integer number (4502222061).

Almost surely, 2^9004444121 is an apocalyptic number.

It is an amenable number.

9004444121 is a deficient number, since it is larger than the sum of its proper divisors (1).

9004444121 is an equidigital number, since it uses as much as digits as its factorization.

9004444121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 9004444121 is about 94891.7494885620. The cubic root of 9004444121 is about 2080.4261424244.

The spelling of 9004444121 in words is "nine billion, four million, four hundred forty-four thousand, one hundred twenty-one".