198346420321 has 45 divisors (see below), whose sum is σ = 236835286233. Its totient is φ = 166101838560.

The previous prime is 198346420309. The next prime is 198346420333. The reversal of 198346420321 is 123024643891.

The square root of 198346420321 is 445361.

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

It is an interprime number because it is at equal distance from previous prime (198346420309) and next prime (198346420333).

It can be written as a sum of positive squares in 4 ways, for example, as 147541260321 + 50805160000 = 384111^2 + 225400^2 .

It is not a de Polignac number, because 198346420321 - 2⁵ = 198346420289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198346420351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1331183955 + ... + 1331184103.

Almost surely, 2^198346420321 is an apocalyptic number.

198346420321 is the 445361-st square number.

198346420321 is the 222681-st centered octagonal number.

It is an amenable number.

198346420321 is a deficient number, since it is larger than the sum of its proper divisors (38488865912).

198346420321 is an frugal number, since it uses more digits than its factorization.

198346420321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 198346420321 in words is "one hundred ninety-eight billion, three hundred forty-six million, four hundred twenty thousand, three hundred twenty-one".