198010455685056 has 1120 divisors, whose sum is σ = 688294863590400. Its totient is φ = 55122040995840.

The previous prime is 198010455685027. The next prime is 198010455685061. The reversal of 198010455685056 is 650586554010891.

198010455685056 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 10 + 4 + 5 + 568 + 5 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 198010455684984 and 198010455685002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153615558460 + ... + 153615559748.

Almost surely, 2^{198010455685056} is an apocalyptic number.

198010455685056 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 198010455685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344147431795200).

198010455685056 is an abundant number, since it is smaller than the sum of its proper divisors (490284407905344).

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

198010455685056 is a wasteful number, since it uses less digits than its factorization.

198010455685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 198010455685056 in words is "one hundred ninety-eight trillion, ten billion, four hundred fifty-five million, six hundred eighty-five thousand, fifty-six".