198821727468 has 240 divisors, whose sum is σ = 640198810944. Its totient is φ = 52395932160.

The previous prime is 198821727457. The next prime is 198821727499. The reversal of 198821727468 is 864727128891.

198821727468 is a `hidden beast` number, since 1 + 9 + 88 + 21 + 72 + 7 + 468 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69492358 + ... + 69495218.

Almost surely, 2^198821727468 is an apocalyptic number.

198821727468 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 198821727468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320099405472).

198821727468 is an abundant number, since it is smaller than the sum of its proper divisors (441377083476).

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

198821727468 is a wasteful number, since it uses less digits than its factorization.

198821727468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5243 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 198821727468 in words is "one hundred ninety-eight billion, eight hundred twenty-one million, seven hundred twenty-seven thousand, four hundred sixty-eight".