114104144000000 has 1848 divisors, whose sum is σ = 368190456476832. Its totient is φ = 34944000000000.

The previous prime is 114104143999997. The next prime is 114104144000029. The reversal of 114104144000000 is 441401411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 871023999935 + ... + 871024000065.

Almost surely, 2^{114104144000000} is an apocalyptic number.

114104144000000 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 114104144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184095228238416).

114104144000000 is an abundant number, since it is smaller than the sum of its proper divisors (254086312476832).

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

114104144000000 is an equidigital number, since it uses as much as digits as its factorization.

114104144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114104144000000 its reverse (441401411), we get a palindrome (114104585401411).

The spelling of 114104144000000 in words is "one hundred fourteen trillion, one hundred four billion, one hundred forty-four million", and thus it is an aban number.