198164243760 has 1280 divisors, whose sum is σ = 802996224000. Its totient is φ = 40236134400.

The previous prime is 198164243731. The next prime is 198164243773. The reversal of 198164243760 is 67342461891.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2957675247 + ... + 2957675313.

It is an arithmetic number, because the mean of its divisors is an integer number (627340800).

Almost surely, 2^198164243760 is an apocalyptic number.

198164243760 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 198164243760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401498112000).

198164243760 is an abundant number, since it is smaller than the sum of its proper divisors (604831980240).

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

198164243760 is a wasteful number, since it uses less digits than its factorization.

198164243760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 198164243760 in words is "one hundred ninety-eight billion, one hundred sixty-four million, two hundred forty-three thousand, seven hundred sixty".