114217968000 has 1024 divisors, whose sum is σ = 433060992000. Its totient is φ = 26453606400.

The previous prime is 114217967953. The next prime is 114217968031. The reversal of 114217968000 is 869712411.

It is a self number, because there is not a number n which added to its sum of digits gives 114217968000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 821711931 + ... + 821712069.

It is an arithmetic number, because the mean of its divisors is an integer number (422911125).

Almost surely, 2^114217968000 is an apocalyptic number.

114217968000 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 114217968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216530496000).

114217968000 is an abundant number, since it is smaller than the sum of its proper divisors (318843024000).

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

114217968000 is a wasteful number, since it uses less digits than its factorization.

114217968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 114217968000 in words is "one hundred fourteen billion, two hundred seventeen million, nine hundred sixty-eight thousand".