1114234006657 has 2 divisors, whose sum is σ = 1114234006658. Its totient is φ = 1114234006656.

The previous prime is 1114234006651. The next prime is 1114234006759. The reversal of 1114234006657 is 7566004324111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1068502611856 + 45731394801 = 1033684^2 + 213849^2 .

It is an emirp because it is prime and its reverse (7566004324111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1114234006657 - 2²³ = 1114225618049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1114234006651) 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, 557117003328 + 557117003329.

It is an arithmetic number, because the mean of its divisors is an integer number (557117003329).

Almost surely, 2^{1114234006657} is an apocalyptic number.

It is an amenable number.

1114234006657 is a deficient number, since it is larger than the sum of its proper divisors (1).

1114234006657 is an equidigital number, since it uses as much as digits as its factorization.

1114234006657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1114234006657 in words is "one trillion, one hundred fourteen billion, two hundred thirty-four million, six thousand, six hundred fifty-seven".