198042292562500 has 189 divisors, whose sum is σ = 437023836355323. Its totient is φ = 78525945000000.

The previous prime is 198042292562489. The next prime is 198042292562507. The reversal of 198042292562500 is 5265292240891.

The square root of 198042292562500 is 14072750.

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

It can be written as a sum of positive squares in 10 ways, for example, as 39802799630916 + 158239492931584 = 6308946^2 + 12579328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198042292562507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 636791937345 + ... + 636791937655.

Almost surely, 2^{198042292562500} is an apocalyptic number.

198042292562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198042292562500 is the 14072750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198042292562500

198042292562500 is an abundant number, since it is smaller than the sum of its proper divisors (238981543792823).

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

198042292562500 is an frugal number, since it uses more digits than its factorization.

198042292562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 198042292562500 in words is "one hundred ninety-eight trillion, forty-two billion, two hundred ninety-two million, five hundred sixty-two thousand, five hundred".