114241014130032 has 120 divisors (see below), whose sum is σ = 321353407065600. Its totient is φ = 37885548783744.

The previous prime is 114241014130003. The next prime is 114241014130091. The reversal of 114241014130032 is 230031410142411.

It is a happy number.

114241014130032 is a `hidden beast` number, since 1 + 1 + 4 + 241 + 0 + 1 + 413 + 0 + 0 + 3 + 2 = 666.

114241014130032 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 = 114241014129978 and 114241014130005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49578319 + ... + 51831377.

It is an arithmetic number, because the mean of its divisors is an integer number (2677945058880).

Almost surely, 2^{114241014130032} is an apocalyptic number.

114241014130032 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 114241014130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160676703532800).

114241014130032 is an abundant number, since it is smaller than the sum of its proper divisors (207112392935568).

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

114241014130032 is a wasteful number, since it uses less digits than its factorization.

114241014130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254875 (or 2254866 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114241014130032 its reverse (230031410142411), we get a palindrome (344272424272443).

The spelling of 114241014130032 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, one hundred thirty thousand, thirty-two".