30162228768 has 384 divisors, whose sum is σ = 103921574400. Its totient is φ = 8332886016.

The previous prime is 30162228763. The next prime is 30162228769. The reversal of 30162228768 is 86782226103.

30162228768 is a `hidden beast` number, since 301 + 6 + 2 + 2 + 287 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (30162228763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23399068 + ... + 23400356.

It is an arithmetic number, because the mean of its divisors is an integer number (270629100).

Almost surely, 2^30162228768 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 30162228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51960787200).

30162228768 is an abundant number, since it is smaller than the sum of its proper divisors (73759345632).

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

30162228768 is a wasteful number, since it uses less digits than its factorization.

30162228768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 30162228768 in words is "thirty billion, one hundred sixty-two million, two hundred twenty-eight thousand, seven hundred sixty-eight".