114505212054141 has 40 divisors (see below), whose sum is σ = 175227109457400. Its totient is φ = 74473175831040.

The previous prime is 114505212054091. The next prime is 114505212054197. The reversal of 114505212054141 is 141450212505411.

114505212054141 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 0 + 52 + 1 + 20 + 541 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30059220751641 + 84445991302500 = 5482629^2 + 9189450^2 .

It is not a de Polignac number, because 114505212054141 - 2¹¹ = 114505212052093 is a prime.

It is a super-2 number, since 2×114505212054141² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114505212054096 and 114505212054105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505212058141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148425955 + ... + 149195423.

It is an arithmetic number, because the mean of its divisors is an integer number (4380677736435).

Almost surely, 2^{114505212054141} is an apocalyptic number.

It is an amenable number.

114505212054141 is a deficient number, since it is larger than the sum of its proper divisors (60721897403259).

114505212054141 is an equidigital number, since it uses as much as digits as its factorization.

114505212054141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814331 (or 814322 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 114505212054141 its reverse (141450212505411), we get a palindrome (255955424559552).

The spelling of 114505212054141 in words is "one hundred fourteen trillion, five hundred five billion, two hundred twelve million, fifty-four thousand, one hundred forty-one".