114069024 has 144 divisors (see below), whose sum is σ = 339603264. Its totient is φ = 36288000.

The previous prime is 114069023. The next prime is 114069073. The reversal of 114069024 is 420960411.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (114069023) 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 23 ways as a sum of consecutive naturals, for example, 755349 + ... + 755499.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2^114069024 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 114069024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632).

114069024 is an abundant number, since it is smaller than the sum of its proper divisors (225534240).

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

114069024 is a wasteful number, since it uses less digits than its factorization.

114069024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114069024 is about 10680.3101078574. The cubic root of 114069024 is about 484.9785996863.

The spelling of 114069024 in words is "one hundred fourteen million, sixty-nine thousand, twenty-four".