114565122441 has 64 divisors (see below), whose sum is σ = 218432716800. Its totient is φ = 57594499200.

The previous prime is 114565122409. The next prime is 114565122449. The reversal of 114565122441 is 144221565411.

114565122441 is a `hidden beast` number, since 1 + 145 + 6 + 51 + 22 + 441 = 666.

It is not a de Polignac number, because 114565122441 - 2⁵ = 114565122409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114565122396 and 114565122405.

It is not an unprimeable number, because it can be changed into a prime (114565122449) 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 in 63 ways as a sum of consecutive naturals, for example, 824356 + ... + 953253.

It is an arithmetic number, because the mean of its divisors is an integer number (3413011200).

Almost surely, 2^114565122441 is an apocalyptic number.

114565122441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114565122441 is a deficient number, since it is larger than the sum of its proper divisors (103867594359).

114565122441 is a wasteful number, since it uses less digits than its factorization.

114565122441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777667 (or 1777661 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Adding to 114565122441 its reverse (144221565411), we get a palindrome (258786687852).

The spelling of 114565122441 in words is "one hundred fourteen billion, five hundred sixty-five million, one hundred twenty-two thousand, four hundred forty-one".