8218993167 has 48 divisors (see below), whose sum is σ = 15444868608. Its totient is φ = 4083963840.

The previous prime is 8218993117. The next prime is 8218993193. The reversal of 8218993167 is 7613998128.

It is not a de Polignac number, because 8218993167 - 2¹⁴ = 8218976783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218993117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 241888 + ... + 273765.

It is an arithmetic number, because the mean of its divisors is an integer number (321768096).

Almost surely, 2^8218993167 is an apocalyptic number.

8218993167 is a deficient number, since it is larger than the sum of its proper divisors (7225875441).

8218993167 is a wasteful number, since it uses less digits than its factorization.

8218993167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515700 (or 515697 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 8218993167 is about 90658.6629451372. The cubic root of 8218993167 is about 2018.0853968438.

The spelling of 8218993167 in words is "eight billion, two hundred eighteen million, nine hundred ninety-three thousand, one hundred sixty-seven".