198363217248 has 576 divisors, whose sum is σ = 723104299008. Its totient is φ = 52195000320.

The previous prime is 198363217189. The next prime is 198363217253. The reversal of 198363217248 is 842712363891.

It is a happy number.

198363217248 is a `hidden beast` number, since 19 + 8 + 363 + 21 + 7 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 198363217194 and 198363217203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43488888 + ... + 43493448.

It is an arithmetic number, because the mean of its divisors is an integer number (1255389408).

Almost surely, 2^198363217248 is an apocalyptic number.

198363217248 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 198363217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361552149504).

198363217248 is an abundant number, since it is smaller than the sum of its proper divisors (524741081760).

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

198363217248 is a wasteful number, since it uses less digits than its factorization.

198363217248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4637 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 198363217248 in words is "one hundred ninety-eight billion, three hundred sixty-three million, two hundred seventeen thousand, two hundred forty-eight".