198771653808 has 960 divisors, whose sum is σ = 757571512320. Its totient is φ = 48686137344.

The previous prime is 198771653803. The next prime is 198771653813. The reversal of 198771653808 is 808356177891.

198771653808 is a `hidden beast` number, since 1 + 9 + 87 + 7 + 16 + 538 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (198771653803) and next prime (198771653813).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198771653803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1190249341 + ... + 1190249507.

It is an arithmetic number, because the mean of its divisors is an integer number (789136992).

Almost surely, 2^198771653808 is an apocalyptic number.

198771653808 is a gapful number since it is divisible by the number (18) 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 198771653808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378785756160).

198771653808 is an abundant number, since it is smaller than the sum of its proper divisors (558799858512).

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

198771653808 is a wasteful number, since it uses less digits than its factorization.

198771653808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 198771653808 in words is "one hundred ninety-eight billion, seven hundred seventy-one million, six hundred fifty-three thousand, eight hundred eight".