198331466760 has 256 divisors, whose sum is σ = 759727987200. Its totient is φ = 45082137600.

The previous prime is 198331466741. The next prime is 198331466771. The reversal of 198331466760 is 67664133891.

It is a happy number.

198331466760 is a `hidden beast` number, since 1 + 9 + 83 + 31 + 466 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 198331466697 and 198331466706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1295890 + ... + 1440830.

It is an arithmetic number, because the mean of its divisors is an integer number (2967687450).

Almost surely, 2^198331466760 is an apocalyptic number.

198331466760 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 198331466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379863993600).

198331466760 is an abundant number, since it is smaller than the sum of its proper divisors (561396520440).

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

198331466760 is a wasteful number, since it uses less digits than its factorization.

198331466760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145149 (or 145139 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 198331466760 in words is "one hundred ninety-eight billion, three hundred thirty-one million, four hundred sixty-six thousand, seven hundred sixty".