30818684448 has 144 divisors (see below), whose sum is σ = 88528894272. Its totient is φ = 10169280000.

The previous prime is 30818684431. The next prime is 30818684467. The reversal of 30818684448 is 84448681803.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30818684448² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30818684394 and 30818684403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14393458 + ... + 14395598.

It is an arithmetic number, because the mean of its divisors is an integer number (614783988).

Almost surely, 2^30818684448 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 30818684448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44264447136).

30818684448 is an abundant number, since it is smaller than the sum of its proper divisors (57710209824).

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

30818684448 is a wasteful number, since it uses less digits than its factorization.

30818684448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 30818684448 in words is "thirty billion, eight hundred eighteen million, six hundred eighty-four thousand, four hundred forty-eight".