8114319360 has 624 divisors, whose sum is σ = 33938261760. Its totient is φ = 1751777280.

The previous prime is 8114319271. The next prime is 8114319377. The reversal of 8114319360 is 639134118.

8114319360 is a `hidden beast` number, since 81 + 1 + 431 + 93 + 60 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24514395 + ... + 24514725.

It is an arithmetic number, because the mean of its divisors is an integer number (54388240).

Almost surely, 2^8114319360 is an apocalyptic number.

8114319360 is a gapful number since it is divisible by the number (80) 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 8114319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969130880).

8114319360 is an abundant number, since it is smaller than the sum of its proper divisors (25823942400).

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

8114319360 is a wasteful number, since it uses less digits than its factorization.

8114319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8114319360 is about 90079.5168725943. The cubic root of 8114319360 is about 2009.4815920065.

The spelling of 8114319360 in words is "eight billion, one hundred fourteen million, three hundred nineteen thousand, three hundred sixty".