8134431879168 has 260 divisors, whose sum is σ = 27771326664400. Its totient is φ = 2324122730496.

The previous prime is 8134431879107. The next prime is 8134431879173. The reversal of 8134431879168 is 8619781344318.

8134431879168 is a `hidden beast` number, since 8 + 1 + 3 + 443 + 187 + 9 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 571158 + ... + 4073706.

Almost surely, 2^{8134431879168} 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 8134431879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13885663332200).

8134431879168 is an abundant number, since it is smaller than the sum of its proper divisors (19636894785232).

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

8134431879168 is an equidigital number, since it uses as much as digits as its factorization.

8134431879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502592 (or 3502561 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 8134431879168 in words is "eight trillion, one hundred thirty-four billion, four hundred thirty-one million, eight hundred seventy-nine thousand, one hundred sixty-eight".