114416016 has 160 divisors (see below), whose sum is σ = 353310720. Its totient is φ = 31449600.

The previous prime is 114416011. The next prime is 114416017. The reversal of 114416016 is 610614411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114416011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542151 + ... + 542361.

It is an arithmetic number, because the mean of its divisors is an integer number (2208192).

Almost surely, 2^114416016 is an apocalyptic number.

114416016 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 114416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176655360).

114416016 is an abundant number, since it is smaller than the sum of its proper divisors (238894704).

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

114416016 is a wasteful number, since it uses less digits than its factorization.

114416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114416016 is about 10696.5422450435. The cubic root of 114416016 is about 485.4698617293.

The spelling of 114416016 in words is "one hundred fourteen million, four hundred sixteen thousand, sixteen".