114434114032000 has 1024 divisors, whose sum is σ = 337312810598400. Its totient is φ = 37795258368000.

The previous prime is 114434114031899. The next prime is 114434114032013. The reversal of 114434114032000 is 230411434411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 114434114032000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184869327691 + ... + 184869328309.

It is an arithmetic number, because the mean of its divisors is an integer number (329407041600).

Almost surely, 2^{114434114032000} is an apocalyptic number.

114434114032000 is a gapful number since it is divisible by the number (10) 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 114434114032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168656405299200).

114434114032000 is an abundant number, since it is smaller than the sum of its proper divisors (222878696566400).

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

114434114032000 is a wasteful number, since it uses less digits than its factorization.

114434114032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114434114032000 its reverse (230411434411), we get a palindrome (114664525466411).

The spelling of 114434114032000 in words is "one hundred fourteen trillion, four hundred thirty-four billion, one hundred fourteen million, thirty-two thousand".