198008197056 has 336 divisors, whose sum is σ = 616798461600. Its totient is φ = 62215630848.

The previous prime is 198008197019. The next prime is 198008197063. The reversal of 198008197056 is 650791800891.

It is a super-2 number, since 2×198008197056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 198008196993 and 198008197011.

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, 92656020 + ... + 92658156.

Almost surely, 2^198008197056 is an apocalyptic number.

198008197056 is a gapful number since it is divisible by the number (16) 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 198008197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308399230800).

198008197056 is an abundant number, since it is smaller than the sum of its proper divisors (418790264544).

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

198008197056 is a wasteful number, since it uses less digits than its factorization.

198008197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 198008197056 in words is "one hundred ninety-eight billion, eight million, one hundred ninety-seven thousand, fifty-six".