114240332024 has 96 divisors (see below), whose sum is σ = 265232880000. Its totient is φ = 45167930496.

The previous prime is 114240332009. The next prime is 114240332029. The reversal of 114240332024 is 420233042411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 114240331984 and 114240332002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240332029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31219907 + ... + 31223565.

It is an arithmetic number, because the mean of its divisors is an integer number (2762842500).

Almost surely, 2^114240332024 is an apocalyptic number.

114240332024 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 114240332024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132616440000).

114240332024 is an abundant number, since it is smaller than the sum of its proper divisors (150992547976).

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

114240332024 is a wasteful number, since it uses less digits than its factorization.

114240332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 114240332024 its reverse (420233042411), we get a palindrome (534473374435).

The spelling of 114240332024 in words is "one hundred fourteen billion, two hundred forty million, three hundred thirty-two thousand, twenty-four".