30848205541608 has 384 divisors, whose sum is σ = 110759352238080. Its totient is φ = 7531025103360.

The previous prime is 30848205541553. The next prime is 30848205541613. The reversal of 30848205541608 is 80614550284803.

30848205541608 is a `hidden beast` number, since 3 + 0 + 8 + 4 + 8 + 20 + 5 + 5 + 4 + 1 + 608 = 666.

It is a super-2 number, since 2×30848205541608² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 1369885 + ... + 7973267.

It is an arithmetic number, because the mean of its divisors is an integer number (288435813120).

Almost surely, 2^{30848205541608} 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 30848205541608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55379676119040).

30848205541608 is an abundant number, since it is smaller than the sum of its proper divisors (79911146696472).

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

30848205541608 is a wasteful number, since it uses less digits than its factorization.

30848205541608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603469 (or 6603462 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 30848205541608 in words is "thirty trillion, eight hundred forty-eight billion, two hundred five million, five hundred forty-one thousand, six hundred eight".