114524469160641 has 12 divisors (see below), whose sum is σ = 171128517136980. Its totient is φ = 73716899689440.

The previous prime is 114524469160597. The next prime is 114524469160643. The reversal of 114524469160641 is 146061964425411.

114524469160641 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 24 + 4 + 6 + 9 + 1 + 606 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30580026266241 + 83944442894400 = 5529921^2 + 9162120^2 .

It is not a de Polignac number, because 114524469160641 - 2¹⁴ = 114524469144257 is a prime.

It is a super-2 number, since 2×114524469160641² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114524469160643) 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, 219395534530 + ... + 219395535051.

It is an arithmetic number, because the mean of its divisors is an integer number (14260709761415).

Almost surely, 2^{114524469160641} is an apocalyptic number.

It is an amenable number.

114524469160641 is a deficient number, since it is larger than the sum of its proper divisors (56604047976339).

114524469160641 is a wasteful number, since it uses less digits than its factorization.

114524469160641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438791069616 (or 438791069613 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 114524469160641 in words is "one hundred fourteen trillion, five hundred twenty-four billion, four hundred sixty-nine million, one hundred sixty thousand, six hundred forty-one".