114188788676340 has 768 divisors, whose sum is σ = 429758547886080. Its totient is φ = 24617323008000.

The previous prime is 114188788676323. The next prime is 114188788676341. The reversal of 114188788676340 is 43676887881411.

114188788676340 is a `hidden beast` number, since 1 + 1 + 418 + 8 + 78 + 86 + 7 + 63 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114188788676341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4953304254 + ... + 4953327306.

It is an arithmetic number, because the mean of its divisors is an integer number (559581442560).

Almost surely, 2^{114188788676340} is an apocalyptic number.

114188788676340 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 114188788676340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214879273943040).

114188788676340 is an abundant number, since it is smaller than the sum of its proper divisors (315569759209740).

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

114188788676340 is a wasteful number, since it uses less digits than its factorization.

114188788676340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 114188788676340 in words is "one hundred fourteen trillion, one hundred eighty-eight billion, seven hundred eighty-eight million, six hundred seventy-six thousand, three hundred forty".