114304413322143 has 128 divisors (see below), whose sum is σ = 202396866048000. Its totient is φ = 62977483255680.

The previous prime is 114304413322139. The next prime is 114304413322213. The reversal of 114304413322143 is 341223314403411.

114304413322143 is a `hidden beast` number, since 1 + 1 + 4 + 304 + 4 + 1 + 332 + 2 + 14 + 3 = 666.

It is not a de Polignac number, because 114304413322143 - 2² = 114304413322139 is a prime.

It is a super-2 number, since 2×114304413322143² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114304413322098 and 114304413322107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114304413322843) 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 127 ways as a sum of consecutive naturals, for example, 24531880 + ... + 28817042.

It is an arithmetic number, because the mean of its divisors is an integer number (1581225516000).

Almost surely, 2^{114304413322143} is an apocalyptic number.

114304413322143 is a deficient number, since it is larger than the sum of its proper divisors (88092452725857).

114304413322143 is a wasteful number, since it uses less digits than its factorization.

114304413322143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285394 (or 4285388 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 114304413322143 its reverse (341223314403411), we get a palindrome (455527727725554).

The spelling of 114304413322143 in words is "one hundred fourteen trillion, three hundred four billion, four hundred thirteen million, three hundred twenty-two thousand, one hundred forty-three".