114432314148864 has 576 divisors, whose sum is σ = 380244062016000. Its totient is φ = 32913665556480.

The previous prime is 114432314148863. The next prime is 114432314148907. The reversal of 114432314148864 is 468841413234411.

114432314148864 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 32 + 31 + 41 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114432314148864.

It is not an unprimeable number, because it can be changed into a prime (114432314148863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184249602 + ... + 184869630.

It is an arithmetic number, because the mean of its divisors is an integer number (660145941000).

Almost surely, 2^{114432314148864} 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 114432314148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190122031008000).

114432314148864 is an abundant number, since it is smaller than the sum of its proper divisors (265811747867136).

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

114432314148864 is a wasteful number, since it uses less digits than its factorization.

114432314148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620124 (or 620101 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 114432314148864 in words is "one hundred fourteen trillion, four hundred thirty-two billion, three hundred fourteen million, one hundred forty-eight thousand, eight hundred sixty-four".