198349296022800 has 1440 divisors, whose sum is σ = 821308558700448. Its totient is φ = 43866520289280.

The previous prime is 198349296022741. The next prime is 198349296022811. The reversal of 198349296022800 is 8220692943891.

198349296022800 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 492 + 9 + 60 + 2 + 2 + 80 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 114893616696336 + 83455679326464 = 10718844^2 + 9135408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1560108034 + ... + 1560235166.

Almost surely, 2^{198349296022800} is an apocalyptic number.

198349296022800 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 198349296022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410654279350224).

198349296022800 is an abundant number, since it is smaller than the sum of its proper divisors (622959262677648).

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

198349296022800 is a wasteful number, since it uses less digits than its factorization.

198349296022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127277 (or 127263 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 198349296022800 in words is "one hundred ninety-eight trillion, three hundred forty-nine billion, two hundred ninety-six million, twenty-two thousand, eight hundred".