114302440404144 has 320 divisors, whose sum is σ = 332508118118400. Its totient is φ = 37591747135488.

The previous prime is 114302440404121. The next prime is 114302440404193. The reversal of 114302440404144 is 441404044203411.

114302440404144 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 0 + 244 + 0 + 404 + 1 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114302440404099 and 114302440404108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8486327842 + ... + 8486341310.

It is an arithmetic number, because the mean of its divisors is an integer number (1039087869120).

Almost surely, 2^{114302440404144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114302440404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166254059059200).

114302440404144 is an abundant number, since it is smaller than the sum of its proper divisors (218205677714256).

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

114302440404144 is a wasteful number, since it uses less digits than its factorization.

114302440404144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 114302440404144 its reverse (441404044203411), we get a palindrome (555706484607555).

The spelling of 114302440404144 in words is "one hundred fourteen trillion, three hundred two billion, four hundred forty million, four hundred four thousand, one hundred forty-four".