805343320906002 has 80 divisors (see below), whose sum is σ = 1813685901667200. Its totient is φ = 267093690732000.

The previous prime is 805343320905997. The next prime is 805343320906073. The reversal of 805343320906002 is 200609023343508.

805343320906002 is a `hidden beast` number, since 8 + 0 + 5 + 3 + 4 + 3 + 32 + 0 + 9 + 0 + 600 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20423149 + ... + 45031007.

It is an arithmetic number, because the mean of its divisors is an integer number (22671073770840).

Almost surely, 2^{805343320906002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805343320906002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906842950833600).

805343320906002 is an abundant number, since it is smaller than the sum of its proper divisors (1008342580761198).

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

805343320906002 is a wasteful number, since it uses less digits than its factorization.

805343320906002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24608893 (or 24608884 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 805343320906002 in words is "eight hundred five trillion, three hundred forty-three billion, three hundred twenty million, nine hundred six thousand, two".