1838413728953 has 2 divisors, whose sum is σ = 1838413728954. Its totient is φ = 1838413728952.

The previous prime is 1838413728883. The next prime is 1838413728961. The reversal of 1838413728953 is 3598273148381.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1020479795344 + 817933933609 = 1010188^2 + 904397^2 .

It is a cyclic number.

It is not a de Polignac number, because 1838413728953 - 2³⁰ = 1837339987129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1838413722953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 919206864476 + 919206864477.

It is an arithmetic number, because the mean of its divisors is an integer number (919206864477).

Almost surely, 2^{1838413728953} is an apocalyptic number.

It is an amenable number.

1838413728953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1838413728953 is an equidigital number, since it uses as much as digits as its factorization.

1838413728953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34836480, while the sum is 62.

The spelling of 1838413728953 in words is "one trillion, eight hundred thirty-eight billion, four hundred thirteen million, seven hundred twenty-eight thousand, nine hundred fifty-three".