8142114816 has 520 divisors, whose sum is σ = 27973116864. Its totient is φ = 2335703040.

The previous prime is 8142114811. The next prime is 8142114853. The reversal of 8142114816 is 6184112418.

8142114816 is a `hidden beast` number, since 81 + 421 + 148 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8142114811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83939280 + ... + 83939376.

Almost surely, 2^8142114816 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 8142114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13986558432).

8142114816 is an abundant number, since it is smaller than the sum of its proper divisors (19831002048).

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

8142114816 is a wasteful number, since it uses less digits than its factorization.

8142114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 8142114816 is about 90233.6678629435. The cubic root of 8142114816 is about 2011.7734581771.

The spelling of 8142114816 in words is "eight billion, one hundred forty-two million, one hundred fourteen thousand, eight hundred sixteen".