14023716102144 has 896 divisors, whose sum is σ = 49911100462080. Its totient is φ = 3807153487872.

The previous prime is 14023716102133. The next prime is 14023716102161. The reversal of 14023716102144 is 44120161732041.

14023716102144 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 37 + 1 + 610 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×14023716102144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14023716102099 and 14023716102108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2463323362 + ... + 2463329054.

Almost surely, 2^{14023716102144} is an apocalyptic number.

14023716102144 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 14023716102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955550231040).

14023716102144 is an abundant number, since it is smaller than the sum of its proper divisors (35887384359936).

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

14023716102144 is an equidigital number, since it uses as much as digits as its factorization.

14023716102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815 (or 5785 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 14023716102144 its reverse (44120161732041), we get a palindrome (58143877834185).

The spelling of 14023716102144 in words is "fourteen trillion, twenty-three billion, seven hundred sixteen million, one hundred two thousand, one hundred forty-four".