30081456842112 has 576 divisors, whose sum is σ = 97019715686400. Its totient is φ = 8932944384000.

The previous prime is 30081456842077. The next prime is 30081456842201. The reversal of 30081456842112 is 21124865418003.

30081456842112 is a `hidden beast` number, since 3 + 0 + 0 + 8 + 1 + 456 + 84 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2287382737 + ... + 2287395887.

It is an arithmetic number, because the mean of its divisors is an integer number (168437006400).

Almost surely, 2^{30081456842112} is an apocalyptic number.

30081456842112 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 30081456842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48509857843200).

30081456842112 is an abundant number, since it is smaller than the sum of its proper divisors (66938258844288).

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

30081456842112 is a wasteful number, since it uses less digits than its factorization.

30081456842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13579 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 30081456842112 in words is "thirty trillion, eighty-one billion, four hundred fifty-six million, eight hundred forty-two thousand, one hundred twelve".