114314303413411 has 16 divisors (see below), whose sum is σ = 117795766475520. Its totient is φ = 110887603135840.

The previous prime is 114314303413333. The next prime is 114314303413463.

114314303413411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 114314303413411 - 2⁷ = 114314303413283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114314303443411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10196215 + ... + 18237088.

It is an arithmetic number, because the mean of its divisors is an integer number (7362235404720).

Almost surely, 2^{114314303413411} is an apocalyptic number.

114314303413411 is a deficient number, since it is larger than the sum of its proper divisors (3481463062109).

114314303413411 is an equidigital number, since it uses as much as digits as its factorization.

114314303413411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28434266.

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 11431430 and 3413411, that added together give a palindrome (14844841).

The spelling of 114314303413411 in words is "one hundred fourteen trillion, three hundred fourteen billion, three hundred three million, four hundred thirteen thousand, four hundred eleven".