198643095885312 has 1280 divisors, whose sum is σ = 660644116070400. Its totient is φ = 58520827330560.

The previous prime is 198643095885287. The next prime is 198643095885317. The reversal of 198643095885312 is 213588590346891.

198643095885312 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 4 + 3 + 0 + 9 + 5 + 88 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198643095885317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256976837758 + ... + 256976838530.

It is an arithmetic number, because the mean of its divisors is an integer number (516128215680).

Almost surely, 2^{198643095885312} is an apocalyptic number.

198643095885312 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 198643095885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330322058035200).

198643095885312 is an abundant number, since it is smaller than the sum of its proper divisors (462001020185088).

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

198643095885312 is a wasteful number, since it uses less digits than its factorization.

198643095885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 198643095885312 in words is "one hundred ninety-eight trillion, six hundred forty-three billion, ninety-five million, eight hundred eighty-five thousand, three hundred twelve".