198608139972864 has 216 divisors, whose sum is σ = 594325278193920. Its totient is φ = 66149168928768.

The previous prime is 198608139972799. The next prime is 198608139972871. The reversal of 198608139972864 is 468279931806891.

198608139972864 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 0 + 81 + 399 + 72 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

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, 75660817 + ... + 78241775.

Almost surely, 2^{198608139972864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198608139972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297162639096960).

198608139972864 is an abundant number, since it is smaller than the sum of its proper divisors (395717138221056).

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

198608139972864 is an equidigital number, since it uses as much as digits as its factorization.

198608139972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582227 (or 2582201 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 81.

The spelling of 198608139972864 in words is "one hundred ninety-eight trillion, six hundred eight billion, one hundred thirty-nine million, nine hundred seventy-two thousand, eight hundred sixty-four".