114656131305 has 12 divisors (see below), whose sum is σ = 198737294340. Its totient is φ = 61149936672.

The previous prime is 114656131279. The next prime is 114656131307. The reversal of 114656131305 is 503131656411.

114656131305 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 5 + 613 + 1 + 30 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52907360256 + 61748771049 = 230016^2 + 248493^2 .

It is not a de Polignac number, because 114656131305 - 2⁵ = 114656131273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114656131305.

It is not an unprimeable number, because it can be changed into a prime (114656131307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273956970 + ... + 1273957059.

It is an arithmetic number, because the mean of its divisors is an integer number (16561441195).

Almost surely, 2^114656131305 is an apocalyptic number.

114656131305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114656131305 is a deficient number, since it is larger than the sum of its proper divisors (84081163035).

114656131305 is a wasteful number, since it uses less digits than its factorization.

114656131305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547914040 (or 2547914037 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 114656131305 its reverse (503131656411), we get a palindrome (617787787716).

The spelling of 114656131305 in words is "one hundred fourteen billion, six hundred fifty-six million, one hundred thirty-one thousand, three hundred five".