114888117129984 has 216 divisors, whose sum is σ = 361376749423872. Its totient is φ = 34813398005760.

The previous prime is 114888117129977. The next prime is 114888117129997. The reversal of 114888117129984 is 489921711888411.

114888117129984 is a `hidden beast` number, since 1 + 1 + 488 + 8 + 1 + 17 + 129 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004148109 + ... + 1004262515.

It is an arithmetic number, because the mean of its divisors is an integer number (1673040506592).

Almost surely, 2^{114888117129984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114888117129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180688374711936).

114888117129984 is an abundant number, since it is smaller than the sum of its proper divisors (246488632293888).

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

114888117129984 is a wasteful number, since it uses less digits than its factorization.

114888117129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154063 (or 154046 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 72.

The spelling of 114888117129984 in words is "one hundred fourteen trillion, eight hundred eighty-eight billion, one hundred seventeen million, one hundred twenty-nine thousand, nine hundred eighty-four".