114542113341105 has 80 divisors (see below), whose sum is σ = 212416907907600. Its totient is φ = 58980020037120.

The previous prime is 114542113341079. The next prime is 114542113341113. The reversal of 114542113341105 is 501143311245411.

114542113341105 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 4 + 211 + 334 + 1 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1204201164321 + 113337912176784 = 1097361^2 + 10646028^2 .

It is not a de Polignac number, because 114542113341105 - 2¹⁸ = 114542113078961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114542113341105.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 283804191 + ... + 284207499.

It is an arithmetic number, because the mean of its divisors is an integer number (2655211348845).

Almost surely, 2^{114542113341105} is an apocalyptic number.

114542113341105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114542113341105 is a deficient number, since it is larger than the sum of its proper divisors (97874794566495).

114542113341105 is a wasteful number, since it uses less digits than its factorization.

114542113341105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427536 (or 427527 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 114542113341105 its reverse (501143311245411), we get a palindrome (615685424586516).

The spelling of 114542113341105 in words is "one hundred fourteen trillion, five hundred forty-two billion, one hundred thirteen million, three hundred forty-one thousand, one hundred five".