14230312144000 has 128 divisors (see below), whose sum is σ = 36243044838000. Its totient is φ = 5553292288000.

The previous prime is 14230312143937. The next prime is 14230312144039. The reversal of 14230312144000 is 44121303241.

It can be written as a sum of positive squares in 8 ways, for example, as 1052889418816 + 13177422725184 = 1026104^2 + 3630072^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10190275 + ... + 11502274.

Almost surely, 2^{14230312144000} is an apocalyptic number.

14230312144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14230312144000 is an abundant number, since it is smaller than the sum of its proper divisors (22012732694000).

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

14230312144000 is an equidigital number, since it uses as much as digits as its factorization.

14230312144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21692619 (or 21692597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14230312144000 its reverse (44121303241), we get a palindrome (14274433447241).

The spelling of 14230312144000 in words is "fourteen trillion, two hundred thirty billion, three hundred twelve million, one hundred forty-four thousand".