114201240324 has 96 divisors (see below), whose sum is σ = 282469824000. Its totient is φ = 35810159616.

The previous prime is 114201240317. The next prime is 114201240347. The reversal of 114201240324 is 423042102411.

It is a junction number, because it is equal to n+sod(n) for n = 114201240294 and 114201240303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36035412 + ... + 36038580.

It is an arithmetic number, because the mean of its divisors is an integer number (2942394000).

Almost surely, 2^114201240324 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 114201240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141234912000).

114201240324 is an abundant number, since it is smaller than the sum of its proper divisors (168268583676).

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

114201240324 is a wasteful number, since it uses less digits than its factorization.

114201240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114201240324 its reverse (423042102411), we get a palindrome (537243342735).

The spelling of 114201240324 in words is "one hundred fourteen billion, two hundred one million, two hundred forty thousand, three hundred twenty-four".