198956597583744 has 2048 divisors, whose sum is σ = 844861280256000. Its totient is φ = 44353885962240.

The previous prime is 198956597583697. The next prime is 198956597583803. The reversal of 198956597583744 is 447385795659891.

It is a happy number.

198956597583744 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 5 + 6 + 597 + 5 + 8 + 3 + 7 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4881272037 + ... + 4881312795.

It is an arithmetic number, because the mean of its divisors is an integer number (412529922000).

Almost surely, 2^{198956597583744} is an apocalyptic number.

198956597583744 is a gapful number since it is divisible by the number (14) 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 198956597583744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422430640128000).

198956597583744 is an abundant number, since it is smaller than the sum of its proper divisors (645904682672256).

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

198956597583744 is a wasteful number, since it uses less digits than its factorization.

198956597583744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40913 (or 40895 counting only the distinct ones).

The product of its digits is 82301184000, while the sum is 90.

The spelling of 198956597583744 in words is "one hundred ninety-eight trillion, nine hundred fifty-six billion, five hundred ninety-seven million, five hundred eighty-three thousand, seven hundred forty-four".