800736304113216 has 336 divisors, whose sum is σ = 2318364762255360. Its totient is φ = 264224017612800.

The previous prime is 800736304113209. The next prime is 800736304113307. The reversal of 800736304113216 is 612311403637008.

800736304113216 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 3 + 6 + 304 + 11 + 321 + 6 = 666.

It is a super-4 number, since 4×800736304113216⁴ (a number of 61 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166785314016 + ... + 166785318816.

It is an arithmetic number, because the mean of its divisors is an integer number (6899895125760).

Almost surely, 2^{800736304113216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800736304113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159182381127680).

800736304113216 is an abundant number, since it is smaller than the sum of its proper divisors (1517628458142144).

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

800736304113216 is a wasteful number, since it uses less digits than its factorization.

800736304113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 800736304113216 in words is "eight hundred trillion, seven hundred thirty-six billion, three hundred four million, one hundred thirteen thousand, two hundred sixteen".