30216810248352 has 864 divisors, whose sum is σ = 110721369927168. Its totient is φ = 7611450384384.

The previous prime is 30216810248323. The next prime is 30216810248369. The reversal of 30216810248352 is 25384201861203.

30216810248352 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 68 + 102 + 483 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30216810248298 and 30216810248307.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13212421353 + ... + 13212423639.

It is an arithmetic number, because the mean of its divisors is an integer number (128149733712).

Almost surely, 2^{30216810248352} is an apocalyptic number.

30216810248352 is a gapful number since it is divisible by the number (32) 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 30216810248352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55360684963584).

30216810248352 is an abundant number, since it is smaller than the sum of its proper divisors (80504559678816).

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

30216810248352 is a wasteful number, since it uses less digits than its factorization.

30216810248352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 30216810248352 in words is "thirty trillion, two hundred sixteen billion, eight hundred ten million, two hundred forty-eight thousand, three hundred fifty-two".