114133011304340 has 288 divisors, whose sum is σ = 289867818240000. Its totient is φ = 37593114854400.

The previous prime is 114133011304327. The next prime is 114133011304357. The reversal of 114133011304340 is 43403110331411.

114133011304340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17422224065 + ... + 17422230615.

It is an arithmetic number, because the mean of its divisors is an integer number (1006485480000).

Almost surely, 2^{114133011304340} is an apocalyptic number.

114133011304340 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 114133011304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144933909120000).

114133011304340 is an abundant number, since it is smaller than the sum of its proper divisors (175734806935660).

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

114133011304340 is a wasteful number, since it uses less digits than its factorization.

114133011304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 114133011304340 its reverse (43403110331411), we get a palindrome (157536121635751).

The spelling of 114133011304340 in words is "one hundred fourteen trillion, one hundred thirty-three billion, eleven million, three hundred four thousand, three hundred forty".