114434514340 has 96 divisors (see below), whose sum is σ = 262166012640. Its totient is φ = 41792864256.

The previous prime is 114434514331. The next prime is 114434514343. The reversal of 114434514340 is 43415434411.

It can be written as a sum of positive squares in 16 ways, for example, as 2509056 + 114432005284 = 1584^2 + 338278^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 114434514296 and 114434514305.

It is not an unprimeable number, because it can be changed into a prime (114434514343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1568104 + ... + 1639456.

It is an arithmetic number, because the mean of its divisors is an integer number (2730895965).

Almost surely, 2^114434514340 is an apocalyptic number.

114434514340 is a gapful number since it is divisible by the number (10) 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 114434514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131083006320).

114434514340 is an abundant number, since it is smaller than the sum of its proper divisors (147731498300).

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

114434514340 is a wasteful number, since it uses less digits than its factorization.

114434514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71521 (or 71519 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 114434514340 its reverse (43415434411), we get a palindrome (157849948751).

The spelling of 114434514340 in words is "one hundred fourteen billion, four hundred thirty-four million, five hundred fourteen thousand, three hundred forty".