814095522456 has 64 divisors (see below), whose sum is σ = 2098573505280. Its totient is φ = 262978992000.

The previous prime is 814095522451. The next prime is 814095522467. The reversal of 814095522456 is 654225590418.

It is a junction number, because it is equal to n+sod(n) for n = 814095522399 and 814095522408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814095522451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603356 + ... + 2049131.

It is an arithmetic number, because the mean of its divisors is an integer number (32790211020).

Almost surely, 2^814095522456 is an apocalyptic number.

It is an amenable number.

814095522456 is an abundant number, since it is smaller than the sum of its proper divisors (1284477982824).

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

814095522456 is a wasteful number, since it uses less digits than its factorization.

814095522456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652784 (or 3652780 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 814095522456 in words is "eight hundred fourteen billion, ninety-five million, five hundred twenty-two thousand, four hundred fifty-six".