198120603648 has 256 divisors, whose sum is σ = 606738758400. Its totient is φ = 56870830080.

The previous prime is 198120603617. The next prime is 198120603673. The reversal of 198120603648 is 846306021891.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 198120603597 and 198120603606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20540715 + ... + 20550357.

It is an arithmetic number, because the mean of its divisors is an integer number (2370073275).

Almost surely, 2^198120603648 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 198120603648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303369379200).

198120603648 is an abundant number, since it is smaller than the sum of its proper divisors (408618154752).

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

198120603648 is an equidigital number, since it uses as much as digits as its factorization.

198120603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 198120603648 in words is "one hundred ninety-eight billion, one hundred twenty million, six hundred three thousand, six hundred forty-eight".