198107999712 has 576 divisors, whose sum is σ = 681443642880. Its totient is φ = 53415936000.

The previous prime is 198107999581. The next prime is 198107999723. The reversal of 198107999712 is 217999701891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198107999712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 494034712 + ... + 494035112.

It is an arithmetic number, because the mean of its divisors is an integer number (1183061880).

Almost surely, 2^198107999712 is an apocalyptic number.

198107999712 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 198107999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340721821440).

198107999712 is an abundant number, since it is smaller than the sum of its proper divisors (483335643168).

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

198107999712 is a wasteful number, since it uses less digits than its factorization.

198107999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 63.

The spelling of 198107999712 in words is "one hundred ninety-eight billion, one hundred seven million, nine hundred ninety-nine thousand, seven hundred twelve".