8034134418 has 96 divisors (see below), whose sum is σ = 18586896960. Its totient is φ = 2571782400.

The previous prime is 8034134413. The next prime is 8034134419. The reversal of 8034134418 is 8144314308.

8034134418 is a `hidden beast` number, since 80 + 34 + 134 + 418 = 666.

It is not an unprimeable number, because it can be changed into a prime (8034134413) 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, 6081198 + ... + 6082518.

It is an arithmetic number, because the mean of its divisors is an integer number (193613510).

Almost surely, 2^8034134418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8034134418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293448480).

8034134418 is an abundant number, since it is smaller than the sum of its proper divisors (10552762542).

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

8034134418 is a wasteful number, since it uses less digits than its factorization.

8034134418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8034134418 is about 89633.3331858188. Note that the first 3 decimals coincide. The cubic root of 8034134418 is about 2002.8404987070.

The spelling of 8034134418 in words is "eight billion, thirty-four million, one hundred thirty-four thousand, four hundred eighteen".