198313464976 has 135 divisors (see below), whose sum is σ = 438660487083. Its totient is φ = 86784741120.

The previous prime is 198313464961. The next prime is 198313464977. The reversal of 198313464976 is 679464313891.

The square root of 198313464976 is 445324.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13894751376 + 184418713600 = 117876^2 + 429440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198313464977) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 568233250 + ... + 568233598.

Almost surely, 2^198313464976 is an apocalyptic number.

198313464976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198313464976 is the 445324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198313464976

198313464976 is an abundant number, since it is smaller than the sum of its proper divisors (240347022107).

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

198313464976 is an equidigital number, since it uses as much as digits as its factorization.

198313464976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 391 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 61.

The spelling of 198313464976 in words is "one hundred ninety-eight billion, three hundred thirteen million, four hundred sixty-four thousand, nine hundred seventy-six".