30198046812160 has 192 divisors, whose sum is σ = 75619569589200. Its totient is φ = 11559471415296.

The previous prime is 30198046812151. The next prime is 30198046812187. The reversal of 30198046812160 is 6121864089103.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5197086802944 + 25000960009216 = 2279712^2 + 5000096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33106522 + ... + 34006438.

Almost surely, 2^{30198046812160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30198046812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37809784794600).

30198046812160 is an abundant number, since it is smaller than the sum of its proper divisors (45421522777040).

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

30198046812160 is a wasteful number, since it uses less digits than its factorization.

30198046812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900086 (or 900066 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 30198046812160 in words is "thirty trillion, one hundred ninety-eight billion, forty-six million, eight hundred twelve thousand, one hundred sixty".