30468161361144 has 256 divisors, whose sum is σ = 83644064985600. Its totient is φ = 9191696836608.

The previous prime is 30468161361107. The next prime is 30468161361151. The reversal of 30468161361144 is 44116316186403.

It is a junction number, because it is equal to n+sod(n) for n = 30468161361093 and 30468161361102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8024270254 + ... + 8024274050.

It is an arithmetic number, because the mean of its divisors is an integer number (326734628850).

Almost surely, 2^{30468161361144} 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 30468161361144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41822032492800).

30468161361144 is an abundant number, since it is smaller than the sum of its proper divisors (53175903624456).

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

30468161361144 is a wasteful number, since it uses less digits than its factorization.

30468161361144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 30468161361144 in words is "thirty trillion, four hundred sixty-eight billion, one hundred sixty-one million, three hundred sixty-one thousand, one hundred forty-four".