30306226944 has 576 divisors, whose sum is σ = 106243522560. Its totient is φ = 7458324480.

The previous prime is 30306226931. The next prime is 30306226969. The reversal of 30306226944 is 44962260303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53829607 + ... + 53830169.

It is an arithmetic number, because the mean of its divisors is an integer number (184450560).

Almost surely, 2^30306226944 is an apocalyptic number.

30306226944 is a gapful number since it is divisible by the number (34) 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 30306226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121761280).

30306226944 is an abundant number, since it is smaller than the sum of its proper divisors (75937295616).

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

30306226944 is a wasteful number, since it uses less digits than its factorization.

30306226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 30306226944 in words is "thirty billion, three hundred six million, two hundred twenty-six thousand, nine hundred forty-four".