30094417868112 has 240 divisors, whose sum is σ = 93223990314000. Its totient is φ = 9005680189440.

The previous prime is 30094417868089. The next prime is 30094417868143. The reversal of 30094417868112 is 21186871449003.

30094417868112 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 441 + 7 + 86 + 8 + 112 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22228546960656 + 7865870907456 = 4714716^2 + 2804616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8682514 + ... + 11643662.

It is an arithmetic number, because the mean of its divisors is an integer number (388433292975).

Almost surely, 2^{30094417868112} 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 30094417868112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46611995157000).

30094417868112 is an abundant number, since it is smaller than the sum of its proper divisors (63129572445888).

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

30094417868112 is a wasteful number, since it uses less digits than its factorization.

30094417868112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961326 (or 2961317 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 30094417868112 in words is "thirty trillion, ninety-four billion, four hundred seventeen million, eight hundred sixty-eight thousand, one hundred twelve".