198667219968 has 1408 divisors, whose sum is σ = 773471232000. Its totient is φ = 49662885888.

The previous prime is 198667219897. The next prime is 198667219999. The reversal of 198667219968 is 869912766891.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 198667219896 and 198667219905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6850593778 + ... + 6850593806.

Almost surely, 2^198667219968 is an apocalyptic number.

198667219968 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 198667219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386735616000).

198667219968 is an abundant number, since it is smaller than the sum of its proper divisors (574804012032).

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

198667219968 is an equidigital number, since it uses as much as digits as its factorization.

198667219968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 72.

The spelling of 198667219968 in words is "one hundred ninety-eight billion, six hundred sixty-seven million, two hundred nineteen thousand, nine hundred sixty-eight".