198500096736 has 72 divisors (see below), whose sum is σ = 564533207784. Its totient is φ = 66161007360.

The previous prime is 198500096681. The next prime is 198500096761. The reversal of 198500096736 is 637690005891.

198500096736 is a `hidden beast` number, since 19 + 8 + 500 + 0 + 96 + 7 + 36 = 666.

198500096736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4550871 + ... + 4594281.

It is an arithmetic number, because the mean of its divisors is an integer number (7840738997).

Almost surely, 2^198500096736 is an apocalyptic number.

198500096736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198500096736 is an abundant number, since it is smaller than the sum of its proper divisors (366033111048).

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

198500096736 is a wasteful number, since it uses less digits than its factorization.

198500096736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59304 (or 59293 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 198500096736 in words is "one hundred ninety-eight billion, five hundred million, ninety-six thousand, seven hundred thirty-six".