198543312432 has 160 divisors (see below), whose sum is σ = 580324642560. Its totient is φ = 64980679680.

The previous prime is 198543312431. The next prime is 198543312433. The reversal of 198543312432 is 234213345891.

It is a happy number.

198543312432 is a `hidden beast` number, since 1 + 98 + 5 + 433 + 124 + 3 + 2 = 666.

198543312432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198543312431) and next prime (198543312433).

It is a super-3 number, since 3×198543312432³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (198543312431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5204307 + ... + 5242317.

It is an arithmetic number, because the mean of its divisors is an integer number (3627029016).

Almost surely, 2^198543312432 is an apocalyptic number.

198543312432 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 198543312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290162321280).

198543312432 is an abundant number, since it is smaller than the sum of its proper divisors (381781330128).

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

198543312432 is a wasteful number, since it uses less digits than its factorization.

198543312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38248 (or 38236 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 198543312432 in words is "one hundred ninety-eight billion, five hundred forty-three million, three hundred twelve thousand, four hundred thirty-two".