8294114304000 has 1344 divisors, whose sum is σ = 34606872518400. Its totient is φ = 1871747481600.

The previous prime is 8294114303999. The next prime is 8294114304017. The reversal of 8294114304000 is 4034114928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5354495226 + ... + 5354496774.

It is an arithmetic number, because the mean of its divisors is an integer number (25749161100).

Almost surely, 2^{8294114304000} is an apocalyptic number.

8294114304000 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 8294114304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303436259200).

8294114304000 is an abundant number, since it is smaller than the sum of its proper divisors (26312758214400).

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

8294114304000 is a wasteful number, since it uses less digits than its factorization.

8294114304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 8294114304000 its reverse (4034114928), we get a palindrome (8298148418928).

The spelling of 8294114304000 in words is "eight trillion, two hundred ninety-four billion, one hundred fourteen million, three hundred four thousand".