14318880200064 has 384 divisors, whose sum is σ = 47609765966880. Its totient is φ = 4082463866880.

The previous prime is 14318880199999. The next prime is 14318880200161. The reversal of 14318880200064 is 46000208881341.

14318880200064 is a `hidden beast` number, since 1 + 431 + 8 + 8 + 8 + 0 + 200 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 14318880199992 and 14318880200019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778317714 + ... + 778336110.

Almost surely, 2^{14318880200064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14318880200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23804882983440).

14318880200064 is an abundant number, since it is smaller than the sum of its proper divisors (33290885766816).

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

14318880200064 is a wasteful number, since it uses less digits than its factorization.

14318880200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22058 (or 22043 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14318880200064 in words is "fourteen trillion, three hundred eighteen billion, eight hundred eighty million, two hundred thousand, sixty-four".