8134543872 has 480 divisors, whose sum is σ = 30445134720. Its totient is φ = 2030469120.

The previous prime is 8134543867. The next prime is 8134543873. The reversal of 8134543872 is 2783454318.

8134543872 is a `hidden beast` number, since 8 + 1 + 34 + 543 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (8134543873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7966722 + ... + 7967742.

It is an arithmetic number, because the mean of its divisors is an integer number (63427364).

Almost surely, 2^8134543872 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 8134543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222567360).

8134543872 is an abundant number, since it is smaller than the sum of its proper divisors (22310590848).

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

8134543872 is a wasteful number, since it uses less digits than its factorization.

8134543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1065 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 8134543872 is about 90191.7062262379. The cubic root of 8134543872 is about 2011.1497157452.

The spelling of 8134543872 in words is "eight billion, one hundred thirty-four million, five hundred forty-three thousand, eight hundred seventy-two".