10004403114067 has 2 divisors, whose sum is σ = 10004403114068. Its totient is φ = 10004403114066.

The previous prime is 10004403114037. The next prime is 10004403114133. The reversal of 10004403114067 is 76041130440001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004403114067 is a prime.

It is not a weakly prime, because it can be changed into another prime (10004403114037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002201557033 + 5002201557034.

It is an arithmetic number, because the mean of its divisors is an integer number (5002201557034).

Almost surely, 2^{10004403114067} is an apocalyptic number.

10004403114067 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004403114067 is an equidigital number, since it uses as much as digits as its factorization.

10004403114067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 10004403114067 its reverse (76041130440001), we get a palindrome (86045533554068).

The spelling of 10004403114067 in words is "ten trillion, four billion, four hundred three million, one hundred fourteen thousand, sixty-seven".