198848692224 has 1080 divisors, whose sum is σ = 754633184760. Its totient is φ = 49941577728.

The previous prime is 198848692193. The next prime is 198848692267. The reversal of 198848692224 is 422296848891.

It can be written as a sum of positive squares in 4 ways, for example, as 11560550400 + 187288141824 = 107520^2 + 432768^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2723954652 + ... + 2723954724.

Almost surely, 2^198848692224 is an apocalyptic number.

198848692224 is a gapful number since it is divisible by the number (14) 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 198848692224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377316592380).

198848692224 is an abundant number, since it is smaller than the sum of its proper divisors (555784492536).

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

198848692224 is a wasteful number, since it uses less digits than its factorization.

198848692224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 198848692224 in words is "one hundred ninety-eight billion, eight hundred forty-eight million, six hundred ninety-two thousand, two hundred twenty-four".