114627279326569 has 27 divisors (see below), whose sum is σ = 122688679144143. Its totient is φ = 107073722946048.

The previous prime is 114627279326563. The next prime is 114627279326587. The reversal of 114627279326569 is 965623972726411.

The square root of 114627279326569 is 10706413.

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

It can be written as a sum of positive squares in 13 ways, for example, as 72059640552025 + 42567638774544 = 8488795^2 + 6524388^2 .

It is not a de Polignac number, because 114627279326569 - 2⁵ = 114627279326537 is a prime.

It is a super-2 number, since 2×114627279326569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114627279326498 and 114627279326507.

It is not an unprimeable number, because it can be changed into a prime (114627279326563) 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 in 26 ways as a sum of consecutive naturals, for example, 24935233579 + ... + 24935238175.

Almost surely, 2^{114627279326569} is an apocalyptic number.

114627279326569 is the 10706413-rd square number.

114627279326569 is the 5353207-th centered octagonal number.

It is an amenable number.

114627279326569 is a deficient number, since it is larger than the sum of its proper divisors (8061399817574).

114627279326569 is an frugal number, since it uses more digits than its factorization.

114627279326569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 4751 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 70.

The spelling of 114627279326569 in words is "one hundred fourteen trillion, six hundred twenty-seven billion, two hundred seventy-nine million, three hundred twenty-six thousand, five hundred sixty-nine".