198831024000 has 1920 divisors, whose sum is σ = 895519722240. Its totient is φ = 43545600000.

The previous prime is 198831023999. The next prime is 198831024037. The reversal of 198831024000 is 420138891.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×198831024000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1968623950 + ... + 1968624050.

It is an arithmetic number, because the mean of its divisors is an integer number (466416522).

Almost surely, 2^198831024000 is an apocalyptic number.

198831024000 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 198831024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447759861120).

198831024000 is an abundant number, since it is smaller than the sum of its proper divisors (696688698240).

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

198831024000 is a wasteful number, since it uses less digits than its factorization.

198831024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 198831024000 in words is "one hundred ninety-eight billion, eight hundred thirty-one million, twenty-four thousand".