114120757344 has 96 divisors (see below), whose sum is σ = 327581573760. Its totient is φ = 34499379200.

The previous prime is 114120757321. The next prime is 114120757349. The reversal of 114120757344 is 443757021411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120757349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313504 + ... + 571424.

It is an arithmetic number, because the mean of its divisors is an integer number (3412308060).

Almost surely, 2^114120757344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114120757344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163790786880).

114120757344 is an abundant number, since it is smaller than the sum of its proper divisors (213460816416).

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

114120757344 is a wasteful number, since it uses less digits than its factorization.

114120757344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258364 (or 258356 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

Adding to 114120757344 its reverse (443757021411), we get a palindrome (557877778755).

The spelling of 114120757344 in words is "one hundred fourteen billion, one hundred twenty million, seven hundred fifty-seven thousand, three hundred forty-four".