8227808761248 has 48 divisors (see below), whose sum is σ = 23997775556160. Its totient is φ = 2742602920128.

The previous prime is 8227808761243. The next prime is 8227808761351. The reversal of 8227808761248 is 8421678087228.

8227808761248 is a `hidden beast` number, since 8 + 2 + 2 + 7 + 8 + 0 + 8 + 7 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8227808761243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4761462540 + ... + 4761464267.

It is an arithmetic number, because the mean of its divisors is an integer number (499953657420).

Almost surely, 2^{8227808761248} is an apocalyptic number.

It is an amenable number.

8227808761248 is an abundant number, since it is smaller than the sum of its proper divisors (15769966794912).

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

8227808761248 is a wasteful number, since it uses less digits than its factorization.

8227808761248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522926826 (or 9522926812 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 8227808761248 in words is "eight trillion, two hundred twenty-seven billion, eight hundred eight million, seven hundred sixty-one thousand, two hundred forty-eight".