114024312306 has 128 divisors (see below), whose sum is σ = 261190656000. Its totient is φ = 36854611200.

The previous prime is 114024312293. The next prime is 114024312329. The reversal of 114024312306 is 603213420411.

It is a happy number.

114024312306 is a `hidden beast` number, since 1 + 1 + 40 + 2 + 4 + 312 + 306 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114024312306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202529581 + ... + 202530143.

It is an arithmetic number, because the mean of its divisors is an integer number (2040552000).

Almost surely, 2^114024312306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114024312306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130595328000).

114024312306 is an abundant number, since it is smaller than the sum of its proper divisors (147166343694).

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

114024312306 is a wasteful number, since it uses less digits than its factorization.

114024312306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114024312306 its reverse (603213420411), we get a palindrome (717237732717).

The spelling of 114024312306 in words is "one hundred fourteen billion, twenty-four million, three hundred twelve thousand, three hundred six".