198386114033844 has 576 divisors, whose sum is σ = 568356174876672. Its totient is φ = 57838006886400.

The previous prime is 198386114033831. The next prime is 198386114033867. The reversal of 198386114033844 is 448330411683891.

198386114033844 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 8 + 611 + 4 + 0 + 3 + 3 + 8 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (63) 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162212684617 + ... + 162212685839.

It is an arithmetic number, because the mean of its divisors is an integer number (986729470272).

Almost surely, 2^{198386114033844} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198386114033844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284178087438336).

198386114033844 is an abundant number, since it is smaller than the sum of its proper divisors (369970060842828).

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

198386114033844 is a wasteful number, since it uses less digits than its factorization.

198386114033844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 198386114033844 in words is "one hundred ninety-eight trillion, three hundred eighty-six billion, one hundred fourteen million, thirty-three thousand, eight hundred forty-four".