114140257733808 has 200 divisors, whose sum is σ = 335794485723840. Its totient is φ = 37420381762560.

The previous prime is 114140257733759. The next prime is 114140257733809. The reversal of 114140257733808 is 808337752041411.

114140257733808 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 0 + 257 + 7 + 3 + 380 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (114140257733809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1335134041 + ... + 1335219527.

Almost surely, 2^{114140257733808} is an apocalyptic number.

114140257733808 is a gapful number since it is divisible by the number (18) 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 114140257733808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167897242861920).

114140257733808 is an abundant number, since it is smaller than the sum of its proper divisors (221654227990032).

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

114140257733808 is a wasteful number, since it uses less digits than its factorization.

114140257733808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102457 (or 102442 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 114140257733808 in words is "one hundred fourteen trillion, one hundred forty billion, two hundred fifty-seven million, seven hundred thirty-three thousand, eight hundred eight".