8296345134000 has 4800 divisors, whose sum is σ = 42189204575232. Its totient is φ = 1551965184000.

The previous prime is 8296345133969. The next prime is 8296345134001. The reversal of 8296345134000 is 4315436928.

8296345134000 is a `hidden beast` number, since 8 + 2 + 9 + 634 + 5 + 1 + 3 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8296345134001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 360710657989 + ... + 360710658011.

Almost surely, 2^{8296345134000} is an apocalyptic number.

8296345134000 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 8296345134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094602287616).

8296345134000 is an abundant number, since it is smaller than the sum of its proper divisors (33892859441232).

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

8296345134000 is a wasteful number, since it uses less digits than its factorization.

8296345134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 8296345134000 in words is "eight trillion, two hundred ninety-six billion, three hundred forty-five million, one hundred thirty-four thousand".