18133770412801 has 2 divisors, whose sum is σ = 18133770412802. Its totient is φ = 18133770412800.

The previous prime is 18133770412711. The next prime is 18133770412829. The reversal of 18133770412801 is 10821407733181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16016396198401 + 2117374214400 = 4002049^2 + 1455120^2 .

It is a cyclic number.

It is not a de Polignac number, because 18133770412801 - 2¹⁹ = 18133769888513 is a prime.

It is not a weakly prime, because it can be changed into another prime (18133770412201) 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, 9066885206400 + 9066885206401.

It is an arithmetic number, because the mean of its divisors is an integer number (9066885206401).

Almost surely, 2^{18133770412801} is an apocalyptic number.

It is an amenable number.

18133770412801 is a deficient number, since it is larger than the sum of its proper divisors (1).

18133770412801 is an equidigital number, since it uses as much as digits as its factorization.

18133770412801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 18133770412801 in words is "eighteen trillion, one hundred thirty-three billion, seven hundred seventy million, four hundred twelve thousand, eight hundred one".