198489852288 has 768 divisors, whose sum is σ = 759861648000. Its totient is φ = 49247944704.

The previous prime is 198489852287. The next prime is 198489852307. The reversal of 198489852288 is 882258984891.

198489852288 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 8 + 98 + 522 + 8 + 8 = 666.

It is a super-2 number, since 2×198489852288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198489852287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87323920 + ... + 87326192.

Almost surely, 2^198489852288 is an apocalyptic number.

198489852288 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 198489852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379930824000).

198489852288 is an abundant number, since it is smaller than the sum of its proper divisors (561371795712).

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

198489852288 is a wasteful number, since it uses less digits than its factorization.

198489852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2315 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 72.

The spelling of 198489852288 in words is "one hundred ninety-eight billion, four hundred eighty-nine million, eight hundred fifty-two thousand, two hundred eighty-eight".