2854016073216 has 2160 divisors, whose sum is σ = 11280516719472. Its totient is φ = 717352796160.

The previous prime is 2854016073203. The next prime is 2854016073343. The reversal of 2854016073216 is 6123706104582.

2854016073216 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 0 + 1 + 607 + 32 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39096110556 + ... + 39096110628.

Almost surely, 2^{2854016073216} 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 2854016073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640258359736).

2854016073216 is an abundant number, since it is smaller than the sum of its proper divisors (8426500646256).

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

2854016073216 is an equidigital number, since it uses as much as digits as its factorization.

2854016073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2854016073216 in words is "two trillion, eight hundred fifty-four billion, sixteen million, seventy-three thousand, two hundred sixteen".