198438175296 has 315 divisors, whose sum is σ = 617214679081. Its totient is φ = 63034937856.

The previous prime is 198438175289. The next prime is 198438175357. The reversal of 198438175296 is 692571834891.

The square root of 198438175296 is 445464.

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

198438175296 is a `hidden beast` number, since 1 + 9 + 8 + 438 + 175 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13056261696 + 185381913600 = 114264^2 + 430560^2 .

It is a Duffinian number.

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, 737688250 + ... + 737688518.

Almost surely, 2^198438175296 is an apocalyptic number.

198438175296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198438175296 is the 445464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198438175296

198438175296 is an abundant number, since it is smaller than the sum of its proper divisors (418776503785).

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

198438175296 is an frugal number, since it uses more digits than its factorization.

198438175296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 297 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 198438175296 in words is "one hundred ninety-eight billion, four hundred thirty-eight million, one hundred seventy-five thousand, two hundred ninety-six".