8219345761 has 16 divisors (see below), whose sum is σ = 9062133696. Its totient is φ = 7392600000.

The previous prime is 8219345747. The next prime is 8219345773. The reversal of 8219345761 is 1675439128.

It is a 5-Lehmer number, since φ(8219345761) divides (8219345761-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 8219345761 - 2¹⁵ = 8219312993 is a prime.

It is a deceptive number, since it divides R_8219345760.

It is not an unprimeable number, because it can be changed into a prime (8219345461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2465866 + ... + 2469196.

It is an arithmetic number, because the mean of its divisors is an integer number (566383356).

Almost surely, 2^8219345761 is an apocalyptic number.

It is an amenable number.

8219345761 is a deficient number, since it is larger than the sum of its proper divisors (842787935).

8219345761 is a wasteful number, since it uses less digits than its factorization.

8219345761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664.

The product of its digits is 362880, while the sum is 46.

The square root of 8219345761 is about 90660.6075481518. The cubic root of 8219345761 is about 2018.1142549863.

The spelling of 8219345761 in words is "eight billion, two hundred nineteen million, three hundred forty-five thousand, seven hundred sixty-one".