30224887466112 has 384 divisors, whose sum is σ = 92155684608000. Its totient is φ = 9482062528512.

The previous prime is 30224887466107. The next prime is 30224887466113. The reversal of 30224887466112 is 21166478842203.

30224887466112 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 488 + 7 + 46 + 6 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (30224887466113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154450714 + ... + 2154464742.

It is an arithmetic number, because the mean of its divisors is an integer number (239988762000).

Almost surely, 2^{30224887466112} is an apocalyptic number.

30224887466112 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 30224887466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46077842304000).

30224887466112 is an abundant number, since it is smaller than the sum of its proper divisors (61930797141888).

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

30224887466112 is a wasteful number, since it uses less digits than its factorization.

30224887466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14708 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 30224887466112 in words is "thirty trillion, two hundred twenty-four billion, eight hundred eighty-seven million, four hundred sixty-six thousand, one hundred twelve".