855182313216 has 720 divisors, whose sum is σ = 3211302302208. Its totient is φ = 219884544000.

The previous prime is 855182313197. The next prime is 855182313221. The reversal of 855182313216 is 612313281558.

855182313216 is a `hidden beast` number, since 8 + 551 + 82 + 3 + 1 + 3 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 161261221 + ... + 161266523.

Almost surely, 2^855182313216 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 855182313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605651151104).

855182313216 is an abundant number, since it is smaller than the sum of its proper divisors (2356119988992).

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

855182313216 is a wasteful number, since it uses less digits than its factorization.

855182313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5427 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 855182313216 in words is "eight hundred fifty-five billion, one hundred eighty-two million, three hundred thirteen thousand, two hundred sixteen".