114315334224 has 240 divisors, whose sum is σ = 365976576000. Its totient is φ = 30106612224.

The previous prime is 114315334223. The next prime is 114315334313. The reversal of 114315334224 is 422433513411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114315334223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79440097 + ... + 79441535.

It is an arithmetic number, because the mean of its divisors is an integer number (1524902400).

Almost surely, 2^114315334224 is an apocalyptic number.

114315334224 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 114315334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288000).

114315334224 is an abundant number, since it is smaller than the sum of its proper divisors (251661241776).

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

114315334224 is a wasteful number, since it uses less digits than its factorization.

114315334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2863 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 114315334224 its reverse (422433513411), we get a palindrome (536748847635).

The spelling of 114315334224 in words is "one hundred fourteen billion, three hundred fifteen million, three hundred thirty-four thousand, two hundred twenty-four".