114006564 has 72 divisors (see below), whose sum is σ = 330482880. Its totient is φ = 32461632.

The previous prime is 114006533. The next prime is 114006577. The reversal of 114006564 is 465600411.

114006564 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 656 + 4 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97447 + ... + 98609.

It is an arithmetic number, because the mean of its divisors is an integer number (4590040).

Almost surely, 2^114006564 is an apocalyptic number.

114006564 is a gapful number since it is divisible by the number (14) 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 114006564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165241440).

114006564 is an abundant number, since it is smaller than the sum of its proper divisors (216476316).

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

114006564 is a wasteful number, since it uses less digits than its factorization.

114006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 114006564 is about 10677.3856350700. The cubic root of 114006564 is about 484.8900647133.

Adding to 114006564 its reverse (465600411), we get a palindrome (579606975).

The spelling of 114006564 in words is "one hundred fourteen million, six thousand, five hundred sixty-four".