114303312441432 has 192 divisors, whose sum is σ = 327117787176960. Its totient is φ = 35986192704000.

The previous prime is 114303312441419. The next prime is 114303312441449. The reversal of 114303312441432 is 234144213303411.

114303312441432 is a `hidden beast` number, since 1 + 1 + 4 + 30 + 33 + 124 + 41 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43087932 + ... + 45663732.

It is an arithmetic number, because the mean of its divisors is an integer number (1703738474880).

Almost surely, 2^{114303312441432} is an apocalyptic number.

114303312441432 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 114303312441432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163558893588480).

114303312441432 is an abundant number, since it is smaller than the sum of its proper divisors (212814474735528).

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

114303312441432 is a wasteful number, since it uses less digits than its factorization.

114303312441432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576174 (or 2576167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 114303312441432 its reverse (234144213303411), we get a palindrome (348447525744843).

The spelling of 114303312441432 in words is "one hundred fourteen trillion, three hundred three billion, three hundred twelve million, four hundred forty-one thousand, four hundred thirty-two".