198328807776 has 576 divisors, whose sum is σ = 626615136000. Its totient is φ = 54688296960.

The previous prime is 198328807727. The next prime is 198328807777. The reversal of 198328807776 is 677708823891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198328807777) 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 95 ways as a sum of consecutive naturals, for example, 1216741071 + ... + 1216741233.

It is an arithmetic number, because the mean of its divisors is an integer number (1087873500).

Almost surely, 2^198328807776 is an apocalyptic number.

198328807776 is a gapful number since it is divisible by the number (16) 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 198328807776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313307568000).

198328807776 is an abundant number, since it is smaller than the sum of its proper divisors (428286328224).

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

198328807776 is a wasteful number, since it uses less digits than its factorization.

198328807776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 66.

The spelling of 198328807776 in words is "one hundred ninety-eight billion, three hundred twenty-eight million, eight hundred seven thousand, seven hundred seventy-six".