114133017024 has 504 divisors, whose sum is σ = 389243986560. Its totient is φ = 31811180544.

The previous prime is 114133016993. The next prime is 114133017029. The reversal of 114133017024 is 420710331411.

114133017024 is a `hidden beast` number, since 1 + 141 + 330 + 170 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114133017029) 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 71 ways as a sum of consecutive naturals, for example, 42537987 + ... + 42540669.

Almost surely, 2^114133017024 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 114133017024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194621993280).

114133017024 is an abundant number, since it is smaller than the sum of its proper divisors (275110969536).

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

114133017024 is a wasteful number, since it uses less digits than its factorization.

114133017024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 114133017024 its reverse (420710331411), we get a palindrome (534843348435).

The spelling of 114133017024 in words is "one hundred fourteen billion, one hundred thirty-three million, seventeen thousand, twenty-four".