114024446214 has 128 divisors (see below), whose sum is σ = 279102136320. Its totient is φ = 30346272000.

The previous prime is 114024446203. The next prime is 114024446227. The reversal of 114024446214 is 412644420411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24513789 + ... + 24518439.

It is an arithmetic number, because the mean of its divisors is an integer number (2180485440).

Almost surely, 2^114024446214 is an apocalyptic number.

114024446214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114024446214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139551068160).

114024446214 is an abundant number, since it is smaller than the sum of its proper divisors (165077690106).

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

114024446214 is a wasteful number, since it uses less digits than its factorization.

114024446214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 114024446214 its reverse (412644420411), we get a palindrome (526668866625).

The spelling of 114024446214 in words is "one hundred fourteen billion, twenty-four million, four hundred forty-six thousand, two hundred fourteen".