198788881729536 has 1200 divisors, whose sum is σ = 695212046949420. Its totient is φ = 56590050263040.

The previous prime is 198788881729519. The next prime is 198788881729583. The reversal of 198788881729536 is 635927188887891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 194004337959936 + 4784543769600 = 13928544^2 + 2187360^2 .

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 99 ways as a sum of consecutive naturals, for example, 134226117916 + ... + 134226119396.

Almost surely, 2^{198788881729536} is an apocalyptic number.

198788881729536 is a gapful number since it is divisible by the number (16) 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 198788881729536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347606023474710).

198788881729536 is an abundant number, since it is smaller than the sum of its proper divisors (496423165219884).

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

198788881729536 is an frugal number, since it uses more digits than its factorization.

198788881729536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1830 counting only the distinct ones).

The product of its digits is 23410114560, while the sum is 90.

The spelling of 198788881729536 in words is "one hundred ninety-eight trillion, seven hundred eighty-eight billion, eight hundred eighty-one million, seven hundred twenty-nine thousand, five hundred thirty-six".