198358056620064 has 1728 divisors, whose sum is σ = 679831250918400. Its totient is φ = 56859816499200.

The previous prime is 198358056619993. The next prime is 198358056620173. The reversal of 198358056620064 is 460026650853891.

It is a happy number.

198358056620064 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 5 + 8 + 0 + 566 + 2 + 0 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 198358056619983 and 198358056620010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 737390544922 + ... + 737390545190.

It is an arithmetic number, because the mean of its divisors is an integer number (393420862800).

Almost surely, 2^{198358056620064} 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 198358056620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339915625459200).

198358056620064 is an abundant number, since it is smaller than the sum of its proper divisors (481473194298336).

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

198358056620064 is an equidigital number, since it uses as much as digits as its factorization.

198358056620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 198358056620064 in words is "one hundred ninety-eight trillion, three hundred fifty-eight billion, fifty-six million, six hundred twenty thousand, sixty-four".