198355404312 has 384 divisors, whose sum is σ = 627832296000. Its totient is φ = 58246594560.

The previous prime is 198355404307. The next prime is 198355404349. The reversal of 198355404312 is 213404553891.

198355404312 is a `hidden beast` number, since 1 + 9 + 83 + 554 + 0 + 4 + 3 + 12 = 666.

198355404312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65225512 + ... + 65228552.

Almost surely, 2^198355404312 is an apocalyptic number.

198355404312 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 198355404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313916148000).

198355404312 is an abundant number, since it is smaller than the sum of its proper divisors (429476891688).

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

198355404312 is a wasteful number, since it uses less digits than its factorization.

198355404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 198355404312 in words is "one hundred ninety-eight billion, three hundred fifty-five million, four hundred four thousand, three hundred twelve".