114303434311143 has 432 divisors, whose sum is σ = 222625607967360. Its totient is φ = 55804165401600.

The previous prime is 114303434311127. The next prime is 114303434311147. The reversal of 114303434311143 is 341113434303411.

114303434311143 is a `hidden beast` number, since 1 + 1 + 4 + 303 + 4 + 34 + 311 + 1 + 4 + 3 = 666.

It is not a de Polignac number, because 114303434311143 - 2⁴ = 114303434311127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114303434311098 and 114303434311107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114303434311147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 74659329288 + ... + 74659330818.

It is an arithmetic number, because the mean of its divisors is an integer number (515337055480).

Almost surely, 2^{114303434311143} is an apocalyptic number.

114303434311143 is a deficient number, since it is larger than the sum of its proper divisors (108322173656217).

114303434311143 is a wasteful number, since it uses less digits than its factorization.

114303434311143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 114303434311143 its reverse (341113434303411), we get a palindrome (455416868614554).

The spelling of 114303434311143 in words is "one hundred fourteen trillion, three hundred three billion, four hundred thirty-four million, three hundred eleven thousand, one hundred forty-three".