114404504051821 has 2 divisors, whose sum is σ = 114404504051822. Its totient is φ = 114404504051820.

The previous prime is 114404504051753. The next prime is 114404504051857. The reversal of 114404504051821 is 128150405404411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111506440434921 + 2898063616900 = 10559661^2 + 1702370^2 .

It is a cyclic number.

It is not a de Polignac number, because 114404504051821 - 2²¹ = 114404501954669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114404504051921) 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, 57202252025910 + 57202252025911.

It is an arithmetic number, because the mean of its divisors is an integer number (57202252025911).

Almost surely, 2^{114404504051821} is an apocalyptic number.

It is an amenable number.

114404504051821 is a deficient number, since it is larger than the sum of its proper divisors (1).

114404504051821 is an equidigital number, since it uses as much as digits as its factorization.

114404504051821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 114404504051821 in words is "one hundred fourteen trillion, four hundred four billion, five hundred four million, fifty-one thousand, eight hundred twenty-one".