198577225728 has 440 divisors, whose sum is σ = 682094331072. Its totient is φ = 56396611584.

The previous prime is 198577225723. The next prime is 198577225733. The reversal of 198577225728 is 827522775891.

198577225728 is a `hidden beast` number, since 1 + 9 + 8 + 57 + 7 + 2 + 2 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (198577225723) and next prime (198577225733).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198577225723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1189085101 + ... + 1189085267.

Almost surely, 2^198577225728 is an apocalyptic number.

198577225728 is a gapful number since it is divisible by the number (18) 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 198577225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341047165536).

198577225728 is an abundant number, since it is smaller than the sum of its proper divisors (483517105344).

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

198577225728 is an frugal number, since it uses more digits than its factorization.

198577225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 179 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 63.

The spelling of 198577225728 in words is "one hundred ninety-eight billion, five hundred seventy-seven million, two hundred twenty-five thousand, seven hundred twenty-eight".