114272615086569 has 81 divisors (see below), whose sum is σ = 175410655581213. Its totient is φ = 71676126753264.

The previous prime is 114272615086519. The next prime is 114272615086631. The reversal of 114272615086569 is 965680516272411.

It is a happy number.

The square root of 114272615086569 is 10689837.

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

114272615086569 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 2 + 6 + 1 + 508 + 65 + 69 = 666.

It is not a de Polignac number, because 114272615086569 - 2¹⁵ = 114272615053801 is a prime.

It is a super-2 number, since 2×114272615086569² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114272615086519) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101756557842 + ... + 101756558964.

Almost surely, 2^{114272615086569} is an apocalyptic number.

114272615086569 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

114272615086569 is the 10689837-th square number.

114272615086569 is the 5344919-th centered octagonal number.

It is an amenable number.

114272615086569 is a deficient number, since it is larger than the sum of its proper divisors (61138040494644).

114272615086569 is an frugal number, since it uses more digits than its factorization.

114272615086569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 114272615086569 in words is "one hundred fourteen trillion, two hundred seventy-two billion, six hundred fifteen million, eighty-six thousand, five hundred sixty-nine".