8355438703872 has 288 divisors, whose sum is σ = 26818713743360. Its totient is φ = 2550657392640.

The previous prime is 8355438703847. The next prime is 8355438703873. The reversal of 8355438703872 is 2783078345538.

8355438703872 is a `hidden beast` number, since 8 + 3 + 5 + 543 + 8 + 7 + 0 + 3 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8355438703873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11045622 + ... + 11777802.

Almost surely, 2^{8355438703872} 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 8355438703872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409356871680).

8355438703872 is an abundant number, since it is smaller than the sum of its proper divisors (18463275039488).

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

8355438703872 is a wasteful number, since it uses less digits than its factorization.

8355438703872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732346 (or 732326 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 8355438703872 in words is "eight trillion, three hundred fifty-five billion, four hundred thirty-eight million, seven hundred three thousand, eight hundred seventy-two".