14313021111144 has 288 divisors, whose sum is σ = 46559325795840. Its totient is φ = 3956549587200.

The previous prime is 14313021111047. The next prime is 14313021111217. The reversal of 14313021111144 is 44111112031341.

14313021111144 is a `hidden beast` number, since 1 + 431 + 3 + 0 + 2 + 111 + 114 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 526374589 + ... + 526401779.

It is an arithmetic number, because the mean of its divisors is an integer number (161664325680).

Almost surely, 2^{14313021111144} is an apocalyptic number.

14313021111144 is a gapful number since it is divisible by the number (14) 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 14313021111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279662897920).

14313021111144 is an abundant number, since it is smaller than the sum of its proper divisors (32246304684696).

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

14313021111144 is a wasteful number, since it uses less digits than its factorization.

14313021111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32061 (or 32047 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14313021111144 its reverse (44111112031341), we get a palindrome (58424133142485).

The spelling of 14313021111144 in words is "fourteen trillion, three hundred thirteen billion, twenty-one million, one hundred eleven thousand, one hundred forty-four".