814385556 has 48 divisors (see below), whose sum is σ = 2113608000. Its totient is φ = 271174176.

The previous prime is 814385479. The next prime is 814385599. The reversal of 814385556 is 655583418.

814385556 is a `hidden beast` number, since 8 + 14 + 3 + 85 + 556 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114595 + ... + 121493.

It is an arithmetic number, because the mean of its divisors is an integer number (44033500).

Almost surely, 2^814385556 is an apocalyptic number.

It is an amenable number.

814385556 is an abundant number, since it is smaller than the sum of its proper divisors (1299222444).

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

814385556 is a wasteful number, since it uses less digits than its factorization.

814385556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 7997 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 814385556 is about 28537.4413008595. The cubic root of 814385556 is about 933.8490632145.

The spelling of 814385556 in words is "eight hundred fourteen million, three hundred eighty-five thousand, five hundred fifty-six".