114431000134411 has 8 divisors (see below), whose sum is σ = 122195506262400. Its totient is φ = 106921067977920.

The previous prime is 114431000134303. The next prime is 114431000134427.

114431000134411 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114431000134411 - 2¹⁵ = 114431000101643 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114431000134411.

It is not an unprimeable number, because it can be changed into a prime (114431000134441) 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 7 ways as a sum of consecutive naturals, for example, 63643491946 + ... + 63643493743.

It is an arithmetic number, because the mean of its divisors is an integer number (15274438282800).

Almost surely, 2^{114431000134411} is an apocalyptic number.

114431000134411 is a deficient number, since it is larger than the sum of its proper divisors (7764506127989).

114431000134411 is a wasteful number, since it uses less digits than its factorization.

114431000134411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127286985749.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 114431000 and 134411, that added together give a palindrome (114565411).

The spelling of 114431000134411 in words is "one hundred fourteen trillion, four hundred thirty-one billion, one hundred thirty-four thousand, four hundred eleven".