8293114368 has 800 divisors, whose sum is σ = 32084553600. Its totient is φ = 2113413120.

The previous prime is 8293114339. The next prime is 8293114381. The reversal of 8293114368 is 8634113928.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156473830 + ... + 156473882.

It is an arithmetic number, because the mean of its divisors is an integer number (40105692).

Almost surely, 2^8293114368 is an apocalyptic number.

8293114368 is a gapful number since it is divisible by the number (88) 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 8293114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042276800).

8293114368 is an abundant number, since it is smaller than the sum of its proper divisors (23791439232).

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

8293114368 is an equidigital number, since it uses as much as digits as its factorization.

8293114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 8293114368 is about 91066.5381355852. The cubic root of 8293114368 is about 2024.1338056696.

The spelling of 8293114368 in words is "eight billion, two hundred ninety-three million, one hundred fourteen thousand, three hundred sixty-eight".