853446105216 has 256 divisors, whose sum is σ = 2696374080000. Its totient is φ = 264940139520.

The previous prime is 853446105203. The next prime is 853446105217. The reversal of 853446105216 is 612501644358.

853446105216 is a `hidden beast` number, since 8 + 5 + 3 + 4 + 4 + 610 + 5 + 21 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (853446105217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3764031 + ... + 3984321.

It is an arithmetic number, because the mean of its divisors is an integer number (10532711250).

Almost surely, 2^853446105216 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 853446105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348187040000).

853446105216 is an abundant number, since it is smaller than the sum of its proper divisors (1842927974784).

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

853446105216 is a wasteful number, since it uses less digits than its factorization.

853446105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220392 (or 220374 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 853446105216 in words is "eight hundred fifty-three billion, four hundred forty-six million, one hundred five thousand, two hundred sixteen".