9434813352768 has 224 divisors, whose sum is σ = 28418997264000. Its totient is φ = 3067595919360.

The previous prime is 9434813352749. The next prime is 9434813352773. The reversal of 9434813352768 is 8672533184349.

It is a happy number.

9434813352768 is a `hidden beast` number, since 9 + 4 + 3 + 48 + 1 + 3 + 3 + 527 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441301503 + ... + 441322881.

It is an arithmetic number, because the mean of its divisors is an integer number (126870523500).

Almost surely, 2^{9434813352768} 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 9434813352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209498632000).

9434813352768 is an abundant number, since it is smaller than the sum of its proper divisors (18984183911232).

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

9434813352768 is a wasteful number, since it uses less digits than its factorization.

9434813352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27670 (or 27654 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 9434813352768 in words is "nine trillion, four hundred thirty-four billion, eight hundred thirteen million, three hundred fifty-two thousand, seven hundred sixty-eight".