114241020225344 has 56 divisors (see below), whose sum is σ = 231041631017160. Its totient is φ = 56026434207744.

The previous prime is 114241020225341. The next prime is 114241020225359. The reversal of 114241020225344 is 443522020142411.

It can be written as a sum of positive squares in 4 ways, for example, as 53773475641600 + 60467544583744 = 7333040^2 + 7776088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114241020225341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6739472 + ... + 16550000.

Almost surely, 2^{114241020225344} 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 114241020225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115520815508580).

114241020225344 is an abundant number, since it is smaller than the sum of its proper divisors (116800610791816).

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

114241020225344 is an equidigital number, since it uses as much as digits as its factorization.

114241020225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814027 (or 9814017 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 114241020225344 its reverse (443522020142411), we get a palindrome (557763040367755).

The spelling of 114241020225344 in words is "one hundred fourteen trillion, two hundred forty-one billion, twenty million, two hundred twenty-five thousand, three hundred forty-four".