198208524385728 has 168 divisors, whose sum is σ = 581398374714768. Its totient is φ = 64537347883008.

The previous prime is 198208524385727. The next prime is 198208524385759. The reversal of 198208524385728 is 827583425802891.

198208524385728 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 0 + 8 + 5 + 2 + 43 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198208524385723) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7371201 + ... + 21230912.

Almost surely, 2^{198208524385728} is an apocalyptic number.

198208524385728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198208524385728 is an abundant number, since it is smaller than the sum of its proper divisors (383189850329040).

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

198208524385728 is a wasteful number, since it uses less digits than its factorization.

198208524385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28602411 (or 28602398 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 198208524385728 in words is "one hundred ninety-eight trillion, two hundred eight billion, five hundred twenty-four million, three hundred eighty-five thousand, seven hundred twenty-eight".