8218421608716 has 192 divisors, whose sum is σ = 23837113681920. Its totient is φ = 2427325056000.

The previous prime is 8218421608703. The next prime is 8218421608721. The reversal of 8218421608716 is 6178061248128.

8218421608716 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 4 + 21 + 608 + 7 + 1 + 6 = 666.

It is a super-2 number, since 2×8218421608716² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 13151106 + ... + 13761846.

It is an arithmetic number, because the mean of its divisors is an integer number (124151633760).

Almost surely, 2^{8218421608716} 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 8218421608716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918556840960).

8218421608716 is an abundant number, since it is smaller than the sum of its proper divisors (15618692073204).

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

8218421608716 is a wasteful number, since it uses less digits than its factorization.

8218421608716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611053 (or 611045 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 8218421608716 in words is "eight trillion, two hundred eighteen billion, four hundred twenty-one million, six hundred eight thousand, seven hundred sixteen".