8946306432 has 192 divisors, whose sum is σ = 29710037760. Its totient is φ = 2531036160.

The previous prime is 8946306419. The next prime is 8946306493. The reversal of 8946306432 is 2346036498.

8946306432 is a `hidden beast` number, since 8 + 9 + 4 + 630 + 6 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 825207 + ... + 835977.

It is an arithmetic number, because the mean of its divisors is an integer number (154739780).

Almost surely, 2^8946306432 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 8946306432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14855018880).

8946306432 is an abundant number, since it is smaller than the sum of its proper divisors (20763731328).

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

8946306432 is a wasteful number, since it uses less digits than its factorization.

8946306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 8946306432 is about 94584.9165142096. The cubic root of 8946306432 is about 2075.9390094236.

The spelling of 8946306432 in words is "eight billion, nine hundred forty-six million, three hundred six thousand, four hundred thirty-two".