198138172608 has 336 divisors, whose sum is σ = 615041350560. Its totient is φ = 60756590592.

The previous prime is 198138172571. The next prime is 198138172613. The reversal of 198138172608 is 806271831891.

198138172608 is a `hidden beast` number, since 1 + 9 + 8 + 13 + 8 + 17 + 2 + 608 = 666.

It is a super-3 number, since 3×198138172608³ (a number of 35 digits) contains 333 as substring.

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, 111500616 + ... + 111502392.

It is an arithmetic number, because the mean of its divisors is an integer number (1830480210).

Almost surely, 2^198138172608 is an apocalyptic number.

198138172608 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 198138172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307520675280).

198138172608 is an abundant number, since it is smaller than the sum of its proper divisors (416903177952).

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

198138172608 is a wasteful number, since it uses less digits than its factorization.

198138172608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 198138172608 in words is "one hundred ninety-eight billion, one hundred thirty-eight million, one hundred seventy-two thousand, six hundred eight".