30966198912 has 640 divisors, whose sum is σ = 105568531200. Its totient is φ = 8928092160.

The previous prime is 30966198899. The next prime is 30966198941. The reversal of 30966198912 is 21989166903.

30966198912 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 619 + 8 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 284093514 + ... + 284093622.

It is an arithmetic number, because the mean of its divisors is an integer number (164950830).

Almost surely, 2^30966198912 is an apocalyptic number.

30966198912 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 30966198912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784265600).

30966198912 is an abundant number, since it is smaller than the sum of its proper divisors (74602332288).

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

30966198912 is a wasteful number, since it uses less digits than its factorization.

30966198912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 30966198912 in words is "thirty billion, nine hundred sixty-six million, one hundred ninety-eight thousand, nine hundred twelve".