851704466112 has 280 divisors, whose sum is σ = 2662306933440. Its totient is φ = 268482885120.

The previous prime is 851704466099. The next prime is 851704466141. The reversal of 851704466112 is 211664407158.

851704466112 is a `hidden beast` number, since 8 + 5 + 1 + 70 + 4 + 466 + 112 = 666.

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 39 ways as a sum of consecutive naturals, for example, 57809787 + ... + 57824517.

It is an arithmetic number, because the mean of its divisors is an integer number (9508239048).

Almost surely, 2^851704466112 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 851704466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331153466720).

851704466112 is an abundant number, since it is smaller than the sum of its proper divisors (1810602467328).

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

851704466112 is a wasteful number, since it uses less digits than its factorization.

851704466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 851704466112 in words is "eight hundred fifty-one billion, seven hundred four million, four hundred sixty-six thousand, one hundred twelve".