114124353252 has 384 divisors, whose sum is σ = 356977152000. Its totient is φ = 27541223424.

The previous prime is 114124353197. The next prime is 114124353253. The reversal of 114124353252 is 252353421411.

114124353252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114124353253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73675374 + ... + 73676922.

It is an arithmetic number, because the mean of its divisors is an integer number (929628000).

Almost surely, 2^114124353252 is an apocalyptic number.

114124353252 is a gapful number since it is divisible by the number (12) 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 114124353252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576000).

114124353252 is an abundant number, since it is smaller than the sum of its proper divisors (242852798748).

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

114124353252 is a wasteful number, since it uses less digits than its factorization.

114124353252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 114124353252 its reverse (252353421411), we get a palindrome (366477774663).

The spelling of 114124353252 in words is "one hundred fourteen billion, one hundred twenty-four million, three hundred fifty-three thousand, two hundred fifty-two".