198379985376048 has 160 divisors (see below), whose sum is σ = 587791180432896. Its totient is φ = 56477312446464.

The previous prime is 198379985376029. The next prime is 198379985376091. The reversal of 198379985376048 is 840673589973891.

It is a Cunningham number, because it is equal to 14084743²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111797640 + ... + 113558232.

Almost surely, 2^{198379985376048} 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 198379985376048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293895590216448).

198379985376048 is an abundant number, since it is smaller than the sum of its proper divisors (389411195056848).

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

198379985376048 is a wasteful number, since it uses less digits than its factorization.

198379985376048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761811 (or 1761805 counting only the distinct ones).

The product of its (nonzero) digits is 19752284160, while the sum is 87.

The spelling of 198379985376048 in words is "one hundred ninety-eight trillion, three hundred seventy-nine billion, nine hundred eighty-five million, three hundred seventy-six thousand, forty-eight".