114016896 has 160 divisors (see below), whose sum is σ = 388032480. Its totient is φ = 32555520.

The previous prime is 114016883. The next prime is 114016897. The reversal of 114016896 is 698610411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114016896.

It is not an unprimeable number, because it can be changed into a prime (114016897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71791 + ... + 73361.

It is an arithmetic number, because the mean of its divisors is an integer number (2425203).

Almost surely, 2^114016896 is an apocalyptic number.

114016896 is a gapful number since it is divisible by the number (16) 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 114016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194016240).

114016896 is an abundant number, since it is smaller than the sum of its proper divisors (274015584).

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

114016896 is an equidigital number, since it uses as much as digits as its factorization.

114016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114016896 is about 10677.8694504100. The cubic root of 114016896 is about 484.9047122114.

The spelling of 114016896 in words is "one hundred fourteen million, sixteen thousand, eight hundred ninety-six".