114024013002000 has 240 divisors, whose sum is σ = 398285219982000. Its totient is φ = 30403551744000.

The previous prime is 114024013001999. The next prime is 114024013002001. The reversal of 114024013002000 is 200310420411.

114024013002000 is a `hidden beast` number, since 1 + 140 + 24 + 0 + 1 + 300 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114024013001999) and next prime (114024013002001).

It can be written as a sum of positive squares in 8 ways, for example, as 25105751598096 + 88918261403904 = 5010564^2 + 9429648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114024013002001) 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, 195206376 + ... + 195789624.

It is an arithmetic number, because the mean of its divisors is an integer number (1659521749925).

Almost surely, 2^{114024013002000} is an apocalyptic number.

114024013002000 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 114024013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199142609991000).

114024013002000 is an abundant number, since it is smaller than the sum of its proper divisors (284261206980000).

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

114024013002000 is a wasteful number, since it uses less digits than its factorization.

114024013002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594139 (or 594120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114024013002000 its reverse (200310420411), we get a palindrome (114224323422411).

The spelling of 114024013002000 in words is "one hundred fourteen trillion, twenty-four billion, thirteen million, two thousand".