813600392004 has 45 divisors (see below), whose sum is σ = 2126954580751. Its totient is φ = 271194718680.

The previous prime is 813600391969. The next prime is 813600392009. The reversal of 813600392004 is 400293006318.

The square root of 813600392004 is 901998.

It is a perfect power (a square), and thus also a powerful number.

813600392004 is a `hidden beast` number, since 8 + 13 + 600 + 39 + 2 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 813600392004.

It is not an unprimeable number, because it can be changed into a prime (813600392009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16210909 + ... + 16261019.

Almost surely, 2^813600392004 is an apocalyptic number.

813600392004 is the 901998-th square number.

It is an amenable number.

813600392004 is an abundant number, since it is smaller than the sum of its proper divisors (1313354188747).

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

813600392004 is an frugal number, since it uses more digits than its factorization.

813600392004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100238 (or 50116 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 813600392004 by its sum of digits (36), we get a square (29289614112144 = 5411988²).

813600392004 divided by its sum of digits (36) gives a square (22600010889 = 150333²).

It can be divided in two parts, 813600 and 392004, that added together give a square (1205604 = 1098²).

The spelling of 813600392004 in words is "eight hundred thirteen billion, six hundred million, three hundred ninety-two thousand, four".