114222079125729 has 45 divisors (see below), whose sum is σ = 171037236938953. Its totient is φ = 75965874085728.

The previous prime is 114222079125719. The next prime is 114222079125797. The reversal of 114222079125729 is 927521970222411.

The square root of 114222079125729 is 10687473.

It is a perfect power (a square), and thus also a powerful number.

114222079125729 is a `hidden beast` number, since 1 + 1 + 42 + 2 + 20 + 7 + 9 + 1 + 2 + 572 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3582142949025 + 110639936176704 = 1892655^2 + 10518552^2 .

It is not a de Polignac number, because 114222079125729 - 2¹¹ = 114222079123681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114222079125719) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48959312647 + ... + 48959314979.

Almost surely, 2^{114222079125729} is an apocalyptic number.

114222079125729 is the 10687473-rd square number.

114222079125729 is the 5343737-th centered octagonal number.

It is an amenable number.

114222079125729 is a deficient number, since it is larger than the sum of its proper divisors (56815157813224).

114222079125729 is an frugal number, since it uses more digits than its factorization.

114222079125729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 114222079125729 in words is "one hundred fourteen trillion, two hundred twenty-two billion, seventy-nine million, one hundred twenty-five thousand, seven hundred twenty-nine".