198209256504 has 256 divisors, whose sum is σ = 595378667520. Its totient is φ = 53797962240.

The previous prime is 198209256431. The next prime is 198209256541. The reversal of 198209256504 is 405652902891.

198209256504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121079974 + ... + 121081610.

It is an arithmetic number, because the mean of its divisors is an integer number (2325697920).

Almost surely, 2^198209256504 is an apocalyptic number.

198209256504 is a gapful number since it is divisible by the number (14) 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 198209256504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297689333760).

198209256504 is an abundant number, since it is smaller than the sum of its proper divisors (397169411016).

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

198209256504 is a wasteful number, since it uses less digits than its factorization.

198209256504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 198209256504 in words is "one hundred ninety-eight billion, two hundred nine million, two hundred fifty-six thousand, five hundred four".