30852521422848 has 832 divisors, whose sum is σ = 103141491379200. Its totient is φ = 9168929685504.

The previous prime is 30852521422759. The next prime is 30852521422871. The reversal of 30852521422848 is 84822412525803.

30852521422848 is a `hidden beast` number, since 3 + 0 + 8 + 52 + 521 + 4 + 2 + 28 + 48 = 666.

It is a super-2 number, since 2×30852521422848² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30852521422794 and 30852521422803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2893413165 + ... + 2893423827.

Almost surely, 2^{30852521422848} is an apocalyptic number.

30852521422848 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 30852521422848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51570745689600).

30852521422848 is an abundant number, since it is smaller than the sum of its proper divisors (72288969956352).

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

30852521422848 is an equidigital number, since it uses as much as digits as its factorization.

30852521422848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 30852521422848 in words is "thirty trillion, eight hundred fifty-two billion, five hundred twenty-one million, four hundred twenty-two thousand, eight hundred forty-eight".