198209412450 has 576 divisors, whose sum is σ = 649911081600. Its totient is φ = 44281036800.

The previous prime is 198209412449. The next prime is 198209412523. The reversal of 198209412450 is 54214902891.

It is a happy number.

198209412450 is a `hidden beast` number, since 1 + 98 + 20 + 94 + 1 + 2 + 450 = 666.

198209412450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 198209412396 and 198209412405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 771242722 + ... + 771242978.

It is an arithmetic number, because the mean of its divisors is an integer number (1128317850).

Almost surely, 2^198209412450 is an apocalyptic number.

198209412450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198209412450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324955540800).

198209412450 is an abundant number, since it is smaller than the sum of its proper divisors (451701669150).

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

198209412450 is a wasteful number, since it uses less digits than its factorization.

198209412450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 198209412450 in words is "one hundred ninety-eight billion, two hundred nine million, four hundred twelve thousand, four hundred fifty".