198357323284560 has 1440 divisors, whose sum is σ = 741271755571200. Its totient is φ = 43678239897600.

The previous prime is 198357323284517. The next prime is 198357323284739. The reversal of 198357323284560 is 65482323753891.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 198357323284491 and 198357323284500.

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, 275879447881 + ... + 275879448599.

It is an arithmetic number, because the mean of its divisors is an integer number (514772052480).

It is a 1-persistent number, because it is pandigital, but 2⋅198357323284560 = 396714646569120 is not.

Almost surely, 2^{198357323284560} is an apocalyptic number.

198357323284560 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 198357323284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370635877785600).

198357323284560 is an abundant number, since it is smaller than the sum of its proper divisors (542914432286640).

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

198357323284560 is a wasteful number, since it uses less digits than its factorization.

198357323284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 198357323284560 in words is "one hundred ninety-eight trillion, three hundred fifty-seven billion, three hundred twenty-three million, two hundred eighty-four thousand, five hundred sixty".