114434340033024 has 320 divisors, whose sum is σ = 377389868359680. Its totient is φ = 33939260559360.

The previous prime is 114434340033023. The next prime is 114434340033109. The reversal of 114434340033024 is 420330043434411.

114434340033024 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 3 + 4 + 340 + 0 + 3 + 302 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114434340033024.

It is not an unprimeable number, because it can be changed into a prime (114434340033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858744 + ... + 15152759.

It is an arithmetic number, because the mean of its divisors is an integer number (1179343338624).

Almost surely, 2^{114434340033024} 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 114434340033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188694934179840).

114434340033024 is an abundant number, since it is smaller than the sum of its proper divisors (262955528326656).

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

114434340033024 is a wasteful number, since it uses less digits than its factorization.

114434340033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011588 (or 16011566 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 114434340033024 its reverse (420330043434411), we get a palindrome (534764383467435).

The spelling of 114434340033024 in words is "one hundred fourteen trillion, four hundred thirty-four billion, three hundred forty million, thirty-three thousand, twenty-four".