947359213546368 has 512 divisors, whose sum is σ = 2993983570575360. Its totient is φ = 259713792000000.

The previous prime is 947359213546331. The next prime is 947359213546391. The reversal of 947359213546368 is 863645312953749.

947359213546368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 947359213546368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12564241468 + ... + 12564316868.

It is an arithmetic number, because the mean of its divisors is an integer number (5847624161280).

Almost surely, 2^{947359213546368} 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 947359213546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496991785287680).

947359213546368 is an abundant number, since it is smaller than the sum of its proper divisors (2046624357028992).

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

947359213546368 is a wasteful number, since it uses less digits than its factorization.

947359213546368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76738 (or 76726 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 75.

The spelling of 947359213546368 in words is "nine hundred forty-seven trillion, three hundred fifty-nine billion, two hundred thirteen million, five hundred forty-six thousand, three hundred sixty-eight".