30993183648 has 432 divisors, whose sum is σ = 108558515520. Its totient is φ = 8364238848.

The previous prime is 30993183643. The next prime is 30993183649. The reversal of 30993183648 is 84638139903.

It is a super-3 number, since 3×30993183648³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30993183594 and 30993183603.

It is not an unprimeable number, because it can be changed into a prime (30993183643) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 91967736 + ... + 91968072.

It is an arithmetic number, because the mean of its divisors is an integer number (251292860).

Almost surely, 2^30993183648 is an apocalyptic number.

30993183648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30993183648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54279257760).

30993183648 is an abundant number, since it is smaller than the sum of its proper divisors (77565331872).

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

30993183648 is an equidigital number, since it uses as much as digits as its factorization.

30993183648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 30993183648 in words is "thirty billion, nine hundred ninety-three million, one hundred eighty-three thousand, six hundred forty-eight".