198871503264 has 768 divisors, whose sum is σ = 698753986560. Its totient is φ = 54540490752.

The previous prime is 198871503227. The next prime is 198871503287. The reversal of 198871503264 is 462305178891.

198871503264 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 71 + 503 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 198871503264.

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 127 ways as a sum of consecutive naturals, for example, 2396042167 + ... + 2396042249.

It is an arithmetic number, because the mean of its divisors is an integer number (909835920).

It is a 1-persistent number, because it is pandigital, but 2⋅198871503264 = 397743006528 is not.

Almost surely, 2^198871503264 is an apocalyptic number.

198871503264 is a gapful number since it is divisible by the number (14) 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 198871503264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349376993280).

198871503264 is an abundant number, since it is smaller than the sum of its proper divisors (499882483296).

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

198871503264 is an frugal number, since it uses more digits than its factorization.

198871503264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 198871503264 in words is "one hundred ninety-eight billion, eight hundred seventy-one million, five hundred three thousand, two hundred sixty-four".