198030031960320 has 3456 divisors, whose sum is σ = 860365908864000. Its totient is φ = 42967593123840.

The previous prime is 198030031960291. The next prime is 198030031960331. The reversal of 198030031960320 is 23069130030891.

198030031960320 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 3 + 0 + 0 + 3 + 19 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 451093466661 + ... + 451093467099.

It is an arithmetic number, because the mean of its divisors is an integer number (248948469000).

Almost surely, 2^{198030031960320} is an apocalyptic number.

198030031960320 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 198030031960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430182954432000).

198030031960320 is an abundant number, since it is smaller than the sum of its proper divisors (662335876903680).

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

198030031960320 is a wasteful number, since it uses less digits than its factorization.

198030031960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 198030031960320 in words is "one hundred ninety-eight trillion, thirty billion, thirty-one million, nine hundred sixty thousand, three hundred twenty".