198169908480 has 720 divisors, whose sum is σ = 776889202320. Its totient is φ = 48009314304.

The previous prime is 198169908479. The next prime is 198169908491. The reversal of 198169908480 is 84809961891.

198169908480 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 69 + 90 + 8 + 480 = 666.

198169908480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 308634624 + 197861273856 = 17568^2 + 444816^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51112302 + ... + 51116178.

It is an arithmetic number, because the mean of its divisors is an integer number (1079012781).

Almost surely, 2^198169908480 is an apocalyptic number.

198169908480 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 198169908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388444601160).

198169908480 is an abundant number, since it is smaller than the sum of its proper divisors (578719293840).

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

198169908480 is a wasteful number, since it uses less digits than its factorization.

198169908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 198169908480 in words is "one hundred ninety-eight billion, one hundred sixty-nine million, nine hundred eight thousand, four hundred eighty".