198422275688064 has 512 divisors, whose sum is σ = 601348649184000. Its totient is φ = 65197318348800.

The previous prime is 198422275688033. The next prime is 198422275688071. The reversal of 198422275688064 is 460886572224891.

It is a happy number.

198422275688064 is a `hidden beast` number, since 1 + 9 + 8 + 422 + 2 + 7 + 5 + 68 + 80 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 198422275687983 and 198422275688001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8246622594 + ... + 8246646654.

Almost surely, 2^{198422275688064} 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 198422275688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300674324592000).

198422275688064 is an abundant number, since it is smaller than the sum of its proper divisors (402926373495936).

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

198422275688064 is an frugal number, since it uses more digits than its factorization.

198422275688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24516 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 198422275688064 in words is "one hundred ninety-eight trillion, four hundred twenty-two billion, two hundred seventy-five million, six hundred eighty-eight thousand, sixty-four".