198001853024256 has 144 divisors (see below), whose sum is σ = 587321535282300. Its totient is φ = 64216816975872.

The previous prime is 198001853024231. The next prime is 198001853024263. The reversal of 198001853024256 is 652420358100891.

198001853024256 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 0 + 1 + 85 + 302 + 4 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142678247040000 + 55323605984256 = 11944800^2 + 7437984^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144484071 + ... + 145848038.

Almost surely, 2^{198001853024256} is an apocalyptic number.

198001853024256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198001853024256 is an abundant number, since it is smaller than the sum of its proper divisors (389319682258044).

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

198001853024256 is a wasteful number, since it uses less digits than its factorization.

198001853024256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290332174 (or 290332151 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 198001853024256 in words is "one hundred ninety-eight trillion, one billion, eight hundred fifty-three million, twenty-four thousand, two hundred fifty-six".