198938274284304 has 225 divisors, whose sum is σ = 591823319891727. Its totient is φ = 64514428224768.

The previous prime is 198938274284291. The next prime is 198938274284363. The reversal of 198938274284304 is 403482472839891.

It is a happy number.

The square root of 198938274284304 is 14104548.

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

198938274284304 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 38 + 2 + 7 + 4 + 284 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366436515600 + 198571837768704 = 605340^2 + 14091552^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18787252642 + ... + 18787263230.

Almost surely, 2^{198938274284304} is an apocalyptic number.

198938274284304 is the 14104548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198938274284304

198938274284304 is an abundant number, since it is smaller than the sum of its proper divisors (392885045607423).

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

198938274284304 is an frugal number, since it uses more digits than its factorization.

198938274284304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 198938274284304 in words is "one hundred ninety-eight trillion, nine hundred thirty-eight billion, two hundred seventy-four million, two hundred eighty-four thousand, three hundred four".