114025000144000 has 512 divisors, whose sum is σ = 311561400084480. Its totient is φ = 41156738560000.

The previous prime is 114025000143983. The next prime is 114025000144001. The reversal of 114025000144000 is 441000520411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (114025000144001) 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, 24307181655 + ... + 24307186345.

It is an arithmetic number, because the mean of its divisors is an integer number (608518359540).

Almost surely, 2^{114025000144000} is an apocalyptic number.

114025000144000 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 114025000144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155780700042240).

114025000144000 is an abundant number, since it is smaller than the sum of its proper divisors (197536399940480).

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

114025000144000 is a wasteful number, since it uses less digits than its factorization.

114025000144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 114025000144000 its reverse (441000520411), we get a palindrome (114466000664411).

The spelling of 114025000144000 in words is "one hundred fourteen trillion, twenty-five billion, one hundred forty-four thousand".