198700882016 has 144 divisors (see below), whose sum is σ = 495924454368. Its totient is φ = 76689100800.

The previous prime is 198700882007. The next prime is 198700882019. The reversal of 198700882016 is 610288007891.

198700882016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198700882019) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1488086 + ... + 1616106.

It is an arithmetic number, because the mean of its divisors is an integer number (3443919822).

Almost surely, 2^198700882016 is an apocalyptic number.

198700882016 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 198700882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247962227184).

198700882016 is an abundant number, since it is smaller than the sum of its proper divisors (297223572352).

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

198700882016 is a wasteful number, since it uses less digits than its factorization.

198700882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128105 (or 128084 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 50.

The spelling of 198700882016 in words is "one hundred ninety-eight billion, seven hundred million, eight hundred eighty-two thousand, sixteen".