30181984128 has 384 divisors, whose sum is σ = 93027916800. Its totient is φ = 9736796160.

The previous prime is 30181984103. The next prime is 30181984271. The reversal of 30181984128 is 82148918103.

30181984128 is a `hidden beast` number, since 30 + 18 + 198 + 412 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174462250 + ... + 174462422.

It is an arithmetic number, because the mean of its divisors is an integer number (242260200).

Almost surely, 2^30181984128 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 30181984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46513958400).

30181984128 is an abundant number, since it is smaller than the sum of its proper divisors (62845932672).

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

30181984128 is an equidigital number, since it uses as much as digits as its factorization.

30181984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 30181984128 in words is "thirty billion, one hundred eighty-one million, nine hundred eighty-four thousand, one hundred twenty-eight".