114144101352000 has 336 divisors, whose sum is σ = 418271326213104. Its totient is φ = 29696025600000.

The previous prime is 114144101351989. The next prime is 114144101352023. The reversal of 114144101352000 is 253101441411.

It is a happy number.

114144101352000 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 441 + 0 + 13 + 5 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57624859938816 + 56519241413184 = 7591104^2 + 7517928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16381351 + ... + 22285350.

It is an arithmetic number, because the mean of its divisors is an integer number (1244855137539).

Almost surely, 2^{114144101352000} is an apocalyptic number.

114144101352000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114144101352000 is an abundant number, since it is smaller than the sum of its proper divisors (304127224861104).

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

114144101352000 is a wasteful number, since it uses less digits than its factorization.

114144101352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38666775 (or 38666752 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114144101352000 its reverse (253101441411), we get a palindrome (114397202793411).

The spelling of 114144101352000 in words is "one hundred fourteen trillion, one hundred forty-four billion, one hundred one million, three hundred fifty-two thousand".