198718072305504 has 768 divisors, whose sum is σ = 595855695052800. Its totient is φ = 57612960792576.

The previous prime is 198718072305503. The next prime is 198718072305509. The reversal of 198718072305504 is 405503270817891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198718072305503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111827839464 + ... + 111827841240.

It is an arithmetic number, because the mean of its divisors is an integer number (775853769600).

Almost surely, 2^{198718072305504} 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 198718072305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297927847526400).

198718072305504 is an abundant number, since it is smaller than the sum of its proper divisors (397137622747296).

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

198718072305504 is a wasteful number, since it uses less digits than its factorization.

198718072305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 60.

The spelling of 198718072305504 in words is "one hundred ninety-eight trillion, seven hundred eighteen billion, seventy-two million, three hundred five thousand, five hundred four".