30222336313728 has 384 divisors, whose sum is σ = 97939630414080. Its totient is φ = 8875774144512.

The previous prime is 30222336313667. The next prime is 30222336313759. The reversal of 30222336313728 is 82731363322203.

30222336313728 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 2 + 3 + 3 + 631 + 3 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×30222336313728² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160763275 + ... + 160951157.

It is an arithmetic number, because the mean of its divisors is an integer number (255051120870).

Almost surely, 2^{30222336313728} 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 30222336313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48969815207040).

30222336313728 is an abundant number, since it is smaller than the sum of its proper divisors (67717294100352).

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

30222336313728 is a wasteful number, since it uses less digits than its factorization.

30222336313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188406 (or 188391 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 30222336313728 in words is "thirty trillion, two hundred twenty-two billion, three hundred thirty-six million, three hundred thirteen thousand, seven hundred twenty-eight".