198311608320 has 816 divisors, whose sum is σ = 774598152960. Its totient is φ = 43115347968.

The previous prime is 198311608283. The next prime is 198311608321. The reversal of 198311608320 is 23806113891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198311608321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1107885991 + ... + 1107886169.

Almost surely, 2^198311608320 is an apocalyptic number.

198311608320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198311608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387299076480).

198311608320 is an abundant number, since it is smaller than the sum of its proper divisors (576286544640).

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

198311608320 is an equidigital number, since it uses as much as digits as its factorization.

198311608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 198311608320 in words is "one hundred ninety-eight billion, three hundred eleven million, six hundred eight thousand, three hundred twenty".