198328194097152 has 672 divisors, whose sum is σ = 654691701727008. Its totient is φ = 53060151803904.

The previous prime is 198328194097151. The next prime is 198328194097177. The reversal of 198328194097152 is 251790491823891.

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

It is a super-2 number, since 2×198328194097152² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198328194097151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4032921588 + ... + 4032970764.

Almost surely, 2^{198328194097152} is an apocalyptic number.

198328194097152 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 198328194097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327345850863504).

198328194097152 is an abundant number, since it is smaller than the sum of its proper divisors (456363507629856).

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

198328194097152 is a wasteful number, since it uses less digits than its factorization.

198328194097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49434 (or 49403 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 69.

The spelling of 198328194097152 in words is "one hundred ninety-eight trillion, three hundred twenty-eight billion, one hundred ninety-four million, ninety-seven thousand, one hundred fifty-two".