198032204160 has 1024 divisors, whose sum is σ = 833878886400. Its totient is φ = 43475927040.

The previous prime is 198032204101. The next prime is 198032204203. The reversal of 198032204160 is 61402230891.

198032204160 is a `hidden beast` number, since 19 + 8 + 0 + 3 + 220 + 416 + 0 = 666.

It is a super-3 number, since 3×198032204160³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 362033007 + ... + 362033553.

It is an arithmetic number, because the mean of its divisors is an integer number (814334850).

Almost surely, 2^198032204160 is an apocalyptic number.

198032204160 is a gapful number since it is divisible by the number (10) 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 198032204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416939443200).

198032204160 is an abundant number, since it is smaller than the sum of its proper divisors (635846682240).

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

198032204160 is a wasteful number, since it uses less digits than its factorization.

198032204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 198032204160 in words is "one hundred ninety-eight billion, thirty-two million, two hundred four thousand, one hundred sixty".