198715816000 has 112 divisors (see below), whose sum is σ = 529975358640. Its totient is φ = 73371955200.

The previous prime is 198715815997. The next prime is 198715816009. The reversal of 198715816000 is 618517891.

It can be written as a sum of positive squares in 8 ways, for example, as 49775394816 + 148940421184 = 223104^2 + 385928^2 .

It is not an unprimeable number, because it can be changed into a prime (198715816009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851365 + ... + 1059364.

It is an arithmetic number, because the mean of its divisors is an integer number (4731922845).

Almost surely, 2^198715816000 is an apocalyptic number.

198715816000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198715816000 is an abundant number, since it is smaller than the sum of its proper divisors (331259542640).

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

198715816000 is a wasteful number, since it uses less digits than its factorization.

198715816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910769 (or 1910749 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 46.

The spelling of 198715816000 in words is "one hundred ninety-eight billion, seven hundred fifteen million, eight hundred sixteen thousand".