198198001084512 has 768 divisors, whose sum is σ = 638071934976000. Its totient is φ = 53046514483200.

The previous prime is 198198001084469. The next prime is 198198001084541. The reversal of 198198001084512 is 215480100891891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61878862303 + ... + 61878865505.

It is an arithmetic number, because the mean of its divisors is an integer number (830822832000).

Almost surely, 2^{198198001084512} is an apocalyptic number.

198198001084512 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 198198001084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319035967488000).

198198001084512 is an abundant number, since it is smaller than the sum of its proper divisors (439873933891488).

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

198198001084512 is a wasteful number, since it uses less digits than its factorization.

198198001084512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 57.

The spelling of 198198001084512 in words is "one hundred ninety-eight trillion, one hundred ninety-eight billion, one million, eighty-four thousand, five hundred twelve".