114025433324000 has 384 divisors, whose sum is σ = 321786205977600. Its totient is φ = 39272843520000.

The previous prime is 114025433323969. The next prime is 114025433324003. The reversal of 114025433324000 is 423334520411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114025433324003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4665703781 + ... + 4665728219.

It is an arithmetic number, because the mean of its divisors is an integer number (837984911400).

Almost surely, 2^{114025433324000} is an apocalyptic number.

114025433324000 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 114025433324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160893102988800).

114025433324000 is an abundant number, since it is smaller than the sum of its proper divisors (207760772653600).

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

114025433324000 is a wasteful number, since it uses less digits than its factorization.

114025433324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30075 (or 30057 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 114025433324000 its reverse (423334520411), we get a palindrome (114448767844411).

The spelling of 114025433324000 in words is "one hundred fourteen trillion, twenty-five billion, four hundred thirty-three million, three hundred twenty-four thousand".