198736815264 has 96 divisors (see below), whose sum is σ = 563230241280. Its totient is φ = 60995607552.

The previous prime is 198736815227. The next prime is 198736815281. The reversal of 198736815264 is 462518637891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 198736815198 and 198736815207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294897 + ... + 696015.

It is an arithmetic number, because the mean of its divisors is an integer number (5866981680).

Almost surely, 2^198736815264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198736815264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281615120640).

198736815264 is an abundant number, since it is smaller than the sum of its proper divisors (364493426016).

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

198736815264 is a wasteful number, since it uses less digits than its factorization.

198736815264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401542 (or 401534 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 198736815264 in words is "one hundred ninety-eight billion, seven hundred thirty-six million, eight hundred fifteen thousand, two hundred sixty-four".