198808937712 has 360 divisors, whose sum is σ = 702532812800. Its totient is φ = 51372921600.

The previous prime is 198808937699. The next prime is 198808937737. The reversal of 198808937712 is 217739808891.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 198808937712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24267537 + ... + 24275727.

Almost surely, 2^198808937712 is an apocalyptic number.

198808937712 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 198808937712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351266406400).

198808937712 is an abundant number, since it is smaller than the sum of its proper divisors (503723875088).

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

198808937712 is a wasteful number, since it uses less digits than its factorization.

198808937712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 198808937712 in words is "one hundred ninety-eight billion, eight hundred eight million, nine hundred thirty-seven thousand, seven hundred twelve".