30643146000 has 480 divisors, whose sum is σ = 114067699200. Its totient is φ = 7640371200.

The previous prime is 30643145989. The next prime is 30643146007. The reversal of 30643146000 is 64134603.

30643146000 is a `hidden beast` number, since 3 + 0 + 6 + 43 + 14 + 600 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (30643146007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73133791 + ... + 73134209.

It is an arithmetic number, because the mean of its divisors is an integer number (237641040).

Almost surely, 2^30643146000 is an apocalyptic number.

30643146000 is a gapful number since it is divisible by the number (30) 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 30643146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57033849600).

30643146000 is an abundant number, since it is smaller than the sum of its proper divisors (83424553200).

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

30643146000 is a wasteful number, since it uses less digits than its factorization.

30643146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 30643146000 in words is "thirty billion, six hundred forty-three million, one hundred forty-six thousand".