8114135904 has 192 divisors, whose sum is σ = 28638489600. Its totient is φ = 2181924864.

The previous prime is 8114135851. The next prime is 8114135929. The reversal of 8114135904 is 4095314118.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63357 + ... + 142275.

It is an arithmetic number, because the mean of its divisors is an integer number (149158800).

Almost surely, 2^8114135904 is an apocalyptic number.

8114135904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8114135904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319244800).

8114135904 is an abundant number, since it is smaller than the sum of its proper divisors (20524353696).

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

8114135904 is a wasteful number, since it uses less digits than its factorization.

8114135904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78962 (or 78948 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8114135904 is about 90078.4985665281. The cubic root of 8114135904 is about 2009.4664478226.

The spelling of 8114135904 in words is "eight billion, one hundred fourteen million, one hundred thirty-five thousand, nine hundred four".