198560656311408 has 240 divisors, whose sum is σ = 590481093180160. Its totient is φ = 63882106299648.

The previous prime is 198560656311359. The next prime is 198560656311539. The reversal of 198560656311408 is 804113656065891.

198560656311408 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 60 + 6 + 563 + 1 + 1 + 4 + 0 + 8 = 666.

198560656311408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1048787091 + ... + 1048976397.

Almost surely, 2^{198560656311408} is an apocalyptic number.

198560656311408 is a gapful number since it is divisible by the number (18) 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 198560656311408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295240546590080).

198560656311408 is an abundant number, since it is smaller than the sum of its proper divisors (391920436868752).

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

198560656311408 is a wasteful number, since it uses less digits than its factorization.

198560656311408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192269 (or 192228 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 198560656311408 in words is "one hundred ninety-eight trillion, five hundred sixty billion, six hundred fifty-six million, three hundred eleven thousand, four hundred eight".