114200505432 has 192 divisors, whose sum is σ = 347979340800. Its totient is φ = 33594704640.

The previous prime is 114200505383. The next prime is 114200505449. The reversal of 114200505432 is 234505002411.

114200505432 is a `hidden beast` number, since 114 + 2 + 0 + 0 + 5 + 0 + 543 + 2 = 666.

114200505432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 114200505396 and 114200505405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384619 + ... + 2432037.

It is an arithmetic number, because the mean of its divisors is an integer number (1812392400).

Almost surely, 2^114200505432 is an apocalyptic number.

114200505432 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 114200505432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173989670400).

114200505432 is an abundant number, since it is smaller than the sum of its proper divisors (233778835368).

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

114200505432 is a wasteful number, since it uses less digits than its factorization.

114200505432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47558 (or 47551 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 114200505432 its reverse (234505002411), we get a palindrome (348705507843).

The spelling of 114200505432 in words is "one hundred fourteen billion, two hundred million, five hundred five thousand, four hundred thirty-two".