804934733517312 has 320 divisors, whose sum is σ = 2201035024742400. Its totient is φ = 261251211755520.

The previous prime is 804934733517269. The next prime is 804934733517361. The reversal of 804934733517312 is 213715337439408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72864548973 + ... + 72864560019.

It is an arithmetic number, because the mean of its divisors is an integer number (6878234452320).

Almost surely, 2^{804934733517312} is an apocalyptic number.

804934733517312 is a gapful number since it is divisible by the number (82) 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 804934733517312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100517512371200).

804934733517312 is an abundant number, since it is smaller than the sum of its proper divisors (1396100291225088).

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

804934733517312 is a wasteful number, since it uses less digits than its factorization.

804934733517312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13271 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 804934733517312 in words is "eight hundred four trillion, nine hundred thirty-four billion, seven hundred thirty-three million, five hundred seventeen thousand, three hundred twelve".