198858445632 has 896 divisors, whose sum is σ = 751487569920. Its totient is φ = 50074951680.

The previous prime is 198858445627. The next prime is 198858445651. The reversal of 198858445632 is 236544858891.

198858445632 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 584 + 45 + 6 + 3 + 2 = 666.

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 198858445632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1149470698 + ... + 1149470870.

Almost surely, 2^198858445632 is an apocalyptic number.

198858445632 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 198858445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375743784960).

198858445632 is an abundant number, since it is smaller than the sum of its proper divisors (552629124288).

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

198858445632 is a wasteful number, since it uses less digits than its factorization.

198858445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 198858445632 in words is "one hundred ninety-eight billion, eight hundred fifty-eight million, four hundred forty-five thousand, six hundred thirty-two".