198938214034560 has 4608 divisors, whose sum is σ = 1005858897039360. Its totient is φ = 36491710464000.

The previous prime is 198938214034541. The next prime is 198938214034597. The reversal of 198938214034560 is 65430412839891.

198938214034560 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 3 + 8 + 21 + 40 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 39385904035 + ... + 39385909085.

It is an arithmetic number, because the mean of its divisors is an integer number (218285350920).

Almost surely, 2^{198938214034560} is an apocalyptic number.

198938214034560 is a gapful number since it is divisible by the number (10) 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 198938214034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502929448519680).

198938214034560 is an abundant number, since it is smaller than the sum of its proper divisors (806920683004800).

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

198938214034560 is a wasteful number, since it uses less digits than its factorization.

198938214034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 198938214034560 in words is "one hundred ninety-eight trillion, nine hundred thirty-eight billion, two hundred fourteen million, thirty-four thousand, five hundred sixty".