114331431433014 has 80 divisors (see below), whose sum is σ = 260660410718400. Its totient is φ = 37445675808816.

The previous prime is 114331431433001. The next prime is 114331431433039. The reversal of 114331431433014 is 410334134133411.

114331431433014 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 1 + 4 + 314 + 330 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114331431433014.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 15981717 + ... + 22001775.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255133980).

Almost surely, 2^{114331431433014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114331431433014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130330205359200).

114331431433014 is an abundant number, since it is smaller than the sum of its proper divisors (146328979285386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114331431433014 is a wasteful number, since it uses less digits than its factorization.

114331431433014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022119 (or 6022110 counting only the distinct ones).

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

Adding to 114331431433014 its reverse (410334134133411), we get a palindrome (524665565566425).

The spelling of 114331431433014 in words is "one hundred fourteen trillion, three hundred thirty-one billion, four hundred thirty-one million, four hundred thirty-three thousand, fourteen".