30930232246272 has 384 divisors, whose sum is σ = 91144190592000. Its totient is φ = 10105277644800.

The previous prime is 30930232246253. The next prime is 30930232246283. The reversal of 30930232246272 is 27264223203903.

30930232246272 is a `hidden beast` number, since 3 + 0 + 9 + 302 + 32 + 2 + 46 + 272 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3238423897 + ... + 3238433447.

It is an arithmetic number, because the mean of its divisors is an integer number (237354663000).

Almost surely, 2^{30930232246272} is an apocalyptic number.

30930232246272 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 30930232246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45572095296000).

30930232246272 is an abundant number, since it is smaller than the sum of its proper divisors (60213958345728).

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

30930232246272 is an equidigital number, since it uses as much as digits as its factorization.

30930232246272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9774 counting only the distinct ones).

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

The spelling of 30930232246272 in words is "thirty trillion, nine hundred thirty billion, two hundred thirty-two million, two hundred forty-six thousand, two hundred seventy-two".