30161395047168 has 1944 divisors, whose sum is σ = 115507336089600. Its totient is φ = 7483920998400.

The previous prime is 30161395047097. The next prime is 30161395047187. The reversal of 30161395047168 is 86174059316103.

30161395047168 is a `hidden beast` number, since 3 + 0 + 1 + 6 + 1 + 3 + 9 + 504 + 71 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 151564799133 + ... + 151564799331.

Almost surely, 2^{30161395047168} 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 30161395047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57753668044800).

30161395047168 is an abundant number, since it is smaller than the sum of its proper divisors (85345941042432).

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

30161395047168 is a wasteful number, since it uses less digits than its factorization.

30161395047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 30161395047168 in words is "thirty trillion, one hundred sixty-one billion, three hundred ninety-five million, forty-seven thousand, one hundred sixty-eight".