198124685760 has 448 divisors, whose sum is σ = 703417927680. Its totient is φ = 46952939520.

The previous prime is 198124685753. The next prime is 198124685767. The reversal of 198124685760 is 67586421891.

It is an interprime number because it is at equal distance from previous prime (198124685753) and next prime (198124685767).

It is a super-3 number, since 3×198124685760³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 198124685760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198124685767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113798490 + ... + 113800230.

Almost surely, 2^198124685760 is an apocalyptic number.

198124685760 is a gapful number since it is divisible by the number (10) 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 198124685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351708963840).

198124685760 is an abundant number, since it is smaller than the sum of its proper divisors (505293241920).

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

198124685760 is a wasteful number, since it uses less digits than its factorization.

198124685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 198124685760 in words is "one hundred ninety-eight billion, one hundred twenty-four million, six hundred eighty-five thousand, seven hundred sixty".