9446630713344 has 576 divisors, whose sum is σ = 31609171339200. Its totient is φ = 2687827968000.

The previous prime is 9446630713309. The next prime is 9446630713453. The reversal of 9446630713344 is 4433170366449.

9446630713344 is a `hidden beast` number, since 9 + 4 + 466 + 3 + 0 + 7 + 133 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 435297694 + ... + 435319394.

It is an arithmetic number, because the mean of its divisors is an integer number (54877033575).

Almost surely, 2^{9446630713344} 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 9446630713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804585669600).

9446630713344 is an abundant number, since it is smaller than the sum of its proper divisors (22162540625856).

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

9446630713344 is a wasteful number, since it uses less digits than its factorization.

9446630713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872 (or 21849 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 9446630713344 in words is "nine trillion, four hundred forty-six billion, six hundred thirty million, seven hundred thirteen thousand, three hundred forty-four".