114066144 has 72 divisors (see below), whose sum is σ = 336412440. Its totient is φ = 38019456.

The previous prime is 114066137. The next prime is 114066149. The reversal of 114066144 is 441660411.

114066144 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114066144² = 26022170414057472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114066149) 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 11 ways as a sum of consecutive naturals, for example, 442 + ... + 15110.

It is an arithmetic number, because the mean of its divisors is an integer number (4672395).

Almost surely, 2^114066144 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 114066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168206220).

114066144 is an abundant number, since it is smaller than the sum of its proper divisors (222346296).

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

114066144 is an equidigital number, since it uses as much as digits as its factorization.

114066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14694 (or 14674 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114066144 is about 10680.1752794605. The cubic root of 114066144 is about 484.9745180930.

The spelling of 114066144 in words is "one hundred fourteen million, sixty-six thousand, one hundred forty-four".