114402123144000 has 448 divisors, whose sum is σ = 441819677395200. Its totient is φ = 28901587968000.

The previous prime is 114402123143983. The next prime is 114402123144017. The reversal of 114402123144000 is 441321204411.

114402123144000 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 21 + 231 + 4 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114402123143983) and next prime (114402123144017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9833881 + ... + 18041880.

Almost surely, 2^{114402123144000} is an apocalyptic number.

114402123144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114402123144000 is an abundant number, since it is smaller than the sum of its proper divisors (327417554251200).

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

114402123144000 is a wasteful number, since it uses less digits than its factorization.

114402123144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27875816 (or 27875790 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114402123144000 its reverse (441321204411), we get a palindrome (114843444348411).

The spelling of 114402123144000 in words is "one hundred fourteen trillion, four hundred two billion, one hundred twenty-three million, one hundred forty-four thousand".