2004313964881 has 2 divisors, whose sum is σ = 2004313964882. Its totient is φ = 2004313964880.

The previous prime is 2004313964771. The next prime is 2004313964929. The reversal of 2004313964881 is 1884693134002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1970766745600 + 33547219281 = 1403840^2 + 183159^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004313964881 - 2⁷ = 2004313964753 is a prime.

It is a super-2 number, since 2×2004313964881² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2004313904881) 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, 1002156982440 + 1002156982441.

It is an arithmetic number, because the mean of its divisors is an integer number (1002156982441).

Almost surely, 2^{2004313964881} is an apocalyptic number.

It is an amenable number.

2004313964881 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004313964881 is an equidigital number, since it uses as much as digits as its factorization.

2004313964881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 2004313964881 in words is "two trillion, four billion, three hundred thirteen million, nine hundred sixty-four thousand, eight hundred eighty-one".