114411541404105 has 96 divisors (see below), whose sum is σ = 218347637713920. Its totient is φ = 54958049303040.

The previous prime is 114411541404103. The next prime is 114411541404137. The reversal of 114411541404105 is 501404145114411.

114411541404105 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 1 + 541 + 4 + 0 + 4 + 105 = 666.

It is not a de Polignac number, because 114411541404105 - 2¹ = 114411541404103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114411541404105.

It is not an unprimeable number, because it can be changed into a prime (114411541404103) 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 95 ways as a sum of consecutive naturals, for example, 591951592 + ... + 592144838.

It is an arithmetic number, because the mean of its divisors is an integer number (2274454559520).

Almost surely, 2^{114411541404105} is an apocalyptic number.

114411541404105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114411541404105 is a deficient number, since it is larger than the sum of its proper divisors (103936096309815).

114411541404105 is a wasteful number, since it uses less digits than its factorization.

114411541404105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204351 (or 204348 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 114411541404105 its reverse (501404145114411), we get a palindrome (615815686518516).

The spelling of 114411541404105 in words is "one hundred fourteen trillion, four hundred eleven billion, five hundred forty-one million, four hundred four thousand, one hundred five".