198349324992 has 672 divisors, whose sum is σ = 733972055040. Its totient is φ = 52063119360.

The previous prime is 198349324991. The next prime is 198349324997. The reversal of 198349324992 is 299423943891.

198349324992 is a `hidden beast` number, since 19 + 8 + 3 + 493 + 2 + 49 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198349324991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403969867 + ... + 403970357.

It is an arithmetic number, because the mean of its divisors is an integer number (1092220320).

Almost surely, 2^198349324992 is an apocalyptic number.

198349324992 is a gapful number since it is divisible by the number (12) 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 198349324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366986027520).

198349324992 is an abundant number, since it is smaller than the sum of its proper divisors (535622730048).

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

198349324992 is a wasteful number, since it uses less digits than its factorization.

198349324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 883 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 198349324992 in words is "one hundred ninety-eight billion, three hundred forty-nine million, three hundred twenty-four thousand, nine hundred ninety-two".