30846346610112 has 672 divisors, whose sum is σ = 105922445690880. Its totient is φ = 8802229201920.

The previous prime is 30846346610063. The next prime is 30846346610159. The reversal of 30846346610112 is 21101664364803.

30846346610112 is a `hidden beast` number, since 3 + 0 + 8 + 4 + 63 + 466 + 10 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542783043 + ... + 542839869.

It is an arithmetic number, because the mean of its divisors is an integer number (157622687040).

Almost surely, 2^{30846346610112} is an apocalyptic number.

30846346610112 is a gapful number since it is divisible by the number (32) 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 30846346610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52961222845440).

30846346610112 is an abundant number, since it is smaller than the sum of its proper divisors (75076099080768).

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

30846346610112 is a wasteful number, since it uses less digits than its factorization.

30846346610112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57051 (or 57029 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 30846346610112 in words is "thirty trillion, eight hundred forty-six billion, three hundred forty-six million, six hundred ten thousand, one hundred twelve".