30350808214272 has 1152 divisors, whose sum is σ = 113929224192000. Its totient is φ = 7757433815040.

The previous prime is 30350808214249. The next prime is 30350808214297. The reversal of 30350808214272 is 27241280805303.

30350808214272 is a `hidden beast` number, since 3 + 0 + 350 + 8 + 0 + 8 + 21 + 4 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 2634841729 + ... + 2634853247.

It is an arithmetic number, because the mean of its divisors is an integer number (98896896000).

Almost surely, 2^{30350808214272} is an apocalyptic number.

30350808214272 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 30350808214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964612096000).

30350808214272 is an abundant number, since it is smaller than the sum of its proper divisors (83578415977728).

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

30350808214272 is a wasteful number, since it uses less digits than its factorization.

30350808214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11694 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30350808214272 in words is "thirty trillion, three hundred fifty billion, eight hundred eight million, two hundred fourteen thousand, two hundred seventy-two".