198542484467712 has 3744 divisors, whose sum is σ = 789380089085952. Its totient is φ = 48743202816000.

The previous prime is 198542484467617. The next prime is 198542484467731. The reversal of 198542484467712 is 217764484245891.

198542484467712 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 424 + 84 + 46 + 77 + 12 = 666.

It is a super-2 number, since 2×198542484467712² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1855537237963 + ... + 1855537238069.

It is an arithmetic number, because the mean of its divisors is an integer number (210838699008).

Almost surely, 2^{198542484467712} is an apocalyptic number.

198542484467712 is a gapful number since it is divisible by the number (12) 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 198542484467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394690044542976).

198542484467712 is an abundant number, since it is smaller than the sum of its proper divisors (590837604618240).

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

198542484467712 is a wasteful number, since it uses less digits than its factorization.

198542484467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 232 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 198542484467712 in words is "one hundred ninety-eight trillion, five hundred forty-two billion, four hundred eighty-four million, four hundred sixty-seven thousand, seven hundred twelve".