114013421134424 has 128 divisors (see below), whose sum is σ = 260164445184000. Its totient is φ = 45755661303936.

The previous prime is 114013421134397. The next prime is 114013421134439. The reversal of 114013421134424 is 424431124310411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31874369 + ... + 35270415.

It is an arithmetic number, because the mean of its divisors is an integer number (2032534728000).

Almost surely, 2^{114013421134424} is an apocalyptic number.

114013421134424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114013421134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130082222592000).

114013421134424 is an abundant number, since it is smaller than the sum of its proper divisors (146151024049576).

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

114013421134424 is a wasteful number, since it uses less digits than its factorization.

114013421134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396445 (or 3396441 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 114013421134424 its reverse (424431124310411), we get a palindrome (538444545444835).

The spelling of 114013421134424 in words is "one hundred fourteen trillion, thirteen billion, four hundred twenty-one million, one hundred thirty-four thousand, four hundred twenty-four".