198416793600 has 567 divisors, whose sum is σ = 736127263963. Its totient is φ = 51086622720.

The previous prime is 198416793569. The next prime is 198416793643. The reversal of 198416793600 is 6397614891.

The square root of 198416793600 is 445440.

It is a perfect power (a square), and thus also a powerful number.

198416793600 is a `hidden beast` number, since 19 + 8 + 4 + 16 + 7 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2727346176 + 195689447424 = 52224^2 + 442368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6841958386 + ... + 6841958414.

Almost surely, 2^198416793600 is an apocalyptic number.

198416793600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198416793600 is the 445440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198416793600

198416793600 is an abundant number, since it is smaller than the sum of its proper divisors (537710470363).

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

198416793600 is an frugal number, since it uses more digits than its factorization.

198416793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 198416 and 793600, that added together give a square (992016 = 996²).

The spelling of 198416793600 in words is "one hundred ninety-eight billion, four hundred sixteen million, seven hundred ninety-three thousand, six hundred".