114126016409 has 2 divisors, whose sum is σ = 114126016410. Its totient is φ = 114126016408.

The previous prime is 114126016363. The next prime is 114126016421. The reversal of 114126016409 is 904610621411.

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., 88359346009 + 25766670400 = 297253^2 + 160520^2 .

It is a cyclic number.

It is not a de Polignac number, because 114126016409 - 2²⁰ = 114124967833 is a prime.

It is not a weakly prime, because it can be changed into another prime (114126016429) 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, 57063008204 + 57063008205.

It is an arithmetic number, because the mean of its divisors is an integer number (57063008205).

Almost surely, 2^114126016409 is an apocalyptic number.

It is an amenable number.

114126016409 is a deficient number, since it is larger than the sum of its proper divisors (1).

114126016409 is an equidigital number, since it uses as much as digits as its factorization.

114126016409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 114126016409 in words is "one hundred fourteen billion, one hundred twenty-six million, sixteen thousand, four hundred nine".