114343240104000 has 672 divisors, whose sum is σ = 412180053667200. Its totient is φ = 30256731648000.

The previous prime is 114343240103957. The next prime is 114343240104007. The reversal of 114343240104000 is 401042343411.

114343240104000 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 4 + 3 + 240 + 10 + 400 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (114343240104007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12047539255 + ... + 12047548745.

It is an arithmetic number, because the mean of its divisors is an integer number (613363175100).

Almost surely, 2^{114343240104000} is an apocalyptic number.

114343240104000 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 114343240104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206090026833600).

114343240104000 is an abundant number, since it is smaller than the sum of its proper divisors (297836813563200).

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

114343240104000 is a wasteful number, since it uses less digits than its factorization.

114343240104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114343240104000 its reverse (401042343411), we get a palindrome (114744282447411).

The spelling of 114343240104000 in words is "one hundred fourteen trillion, three hundred forty-three billion, two hundred forty million, one hundred four thousand".