114229305984 has 128 divisors (see below), whose sum is σ = 326819750400. Its totient is φ = 35233422336.

The previous prime is 114229305979. The next prime is 114229305989. The reversal of 114229305984 is 489503922411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114229305979) and next prime (114229305989).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (114229305989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131677 + ... + 495779.

It is an arithmetic number, because the mean of its divisors is an integer number (2553279300).

Almost surely, 2^114229305984 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 114229305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163409875200).

114229305984 is an abundant number, since it is smaller than the sum of its proper divisors (212590444416).

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

114229305984 is a wasteful number, since it uses less digits than its factorization.

114229305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364182 (or 364170 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 114229305984 in words is "one hundred fourteen billion, two hundred twenty-nine million, three hundred five thousand, nine hundred eighty-four".