Draft:1,978,419,655,660,313,589,123,979

1,978,419,655,660,313,589,123,979 is the interger following 1,978,419,655,660,313,589,123,978 and preceding 1,978,419,655,660,313,589,123,980.

Properties
Here are some properties of this number:.
 * 1,978,419,655,660,313,589,123,979 is equal to 19^19, or 19^^2
 * It is a power of 19.
 * It is a solution for n in which:
 * $$a^n + b^n + c^n + ...,$$ where $$a*b*c* ...$$ is the prime factorization of n
 * $$a(n) = (2n+1)^{(2n+1)}$$
 * $$a(n) = n^{rad(n)}$$
 * $$a({p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m}) = {p_1}^{{p_1}^{e_1}}*{p_2}^{{p}^{{2}^{e_2}}}*.....*{p_m}^{{p_m}^{e_m}}$$ where $${p_1}^{e_1}*{p_2}^{e_2}*.....*{p_m}^{e_m}$$ is the prime decomposition of n
 * $$a(n) = n^{phi(n)+1}, phi(n)$$
 * $$n = (tau(n) - 1)^k$$ with k as an integer
 * $$n^(p1) + n^(p2) + n^(p3) + ... $$where$$ (p1)*(p2)*(p3)*.... $$is the prime factorization of n (with multiplicity).
 * n to the power of the smallest prime divisor of n
 * Möbius transform of $$sigma_n(n)$$
 * n to the power of the largest prime divisor of nw
 * It is a perfect-4 composite.
 * It is a number of the form n^n which contain n as a substring in base 10.
 * It is a tetration that isn't a pentation
 * It is derived from the von Mangoldt matrix sequence.
 * It is the smallest pandigital number of the form p^p where p is prime.
 * There are 1,978,419,655,660,313,589,123,979 possible baseball bat models