8214340688 has 20 divisors (see below), whose sum is σ = 15917041140. Its totient is φ = 4106717184.

The previous prime is 8214340679. The next prime is 8214340751. The reversal of 8214340688 is 8860434128.

It is a Cunningham number, because it is equal to 90633²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 2973739024 + 5240601664 = 54532^2 + 72392^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158606 + ... + 203922.

It is an arithmetic number, because the mean of its divisors is an integer number (795852057).

Almost surely, 2^8214340688 is an apocalyptic number.

It is an amenable number.

8214340688 is a deficient number, since it is larger than the sum of its proper divisors (7702700452).

8214340688 is a wasteful number, since it uses less digits than its factorization.

8214340688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56654 (or 56648 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 8214340688 is about 90632.9999944832. Note that the first 5 decimals coincide. The cubic root of 8214340688 is about 2017.7045362401.

The spelling of 8214340688 in words is "eight billion, two hundred fourteen million, three hundred forty thousand, six hundred eighty-eight".