8216123814 has 32 divisors (see below), whose sum is σ = 18276058080. Its totient is φ = 2736007200.

The previous prime is 8216123809. The next prime is 8216123819. The reversal of 8216123814 is 4183216128.

8216123814 is a `hidden beast` number, since 8 + 2 + 1 + 612 + 38 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8216123809) and next prime (8216123819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8216123819) 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, 19377 + ... + 129644.

It is an arithmetic number, because the mean of its divisors is an integer number (571126815).

Almost surely, 2^8216123814 is an apocalyptic number.

8216123814 is an abundant number, since it is smaller than the sum of its proper divisors (10059934266).

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

8216123814 is a wasteful number, since it uses less digits than its factorization.

8216123814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150053 (or 150047 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8216123814 is about 90642.8365288730. The cubic root of 8216123814 is about 2017.8505232505.

The spelling of 8216123814 in words is "eight billion, two hundred sixteen million, one hundred twenty-three thousand, eight hundred fourteen".