114432241100 has 144 divisors (see below), whose sum is σ = 268484878368. Its totient is φ = 42178805760.

The previous prime is 114432241073. The next prime is 114432241109. The reversal of 114432241100 is 1142234411.

It is a super-3 number, since 3×114432241100³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114432241109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15940712 + ... + 15947888.

It is an arithmetic number, because the mean of its divisors is an integer number (1864478322).

Almost surely, 2^114432241100 is an apocalyptic number.

114432241100 is a gapful number since it is divisible by the number (10) 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 114432241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134242439184).

114432241100 is an abundant number, since it is smaller than the sum of its proper divisors (154052637268).

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

114432241100 is a wasteful number, since it uses less digits than its factorization.

114432241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114432241100 its reverse (1142234411), we get a palindrome (115574475511).

The spelling of 114432241100 in words is "one hundred fourteen billion, four hundred thirty-two million, two hundred forty-one thousand, one hundred".