814565245832 has 64 divisors (see below), whose sum is σ = 1744971303600. Its totient is φ = 353142743040.

The previous prime is 814565245807. The next prime is 814565245853. The reversal of 814565245832 is 238542565418.

It can be written as a sum of positive squares in 8 ways, for example, as 419082737956 + 395482507876 = 647366^2 + 628874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447332 + ... + 1352492.

Almost surely, 2^814565245832 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 814565245832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872485651800).

814565245832 is an abundant number, since it is smaller than the sum of its proper divisors (930406057768).

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

814565245832 is a wasteful number, since it uses less digits than its factorization.

814565245832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905706 (or 905702 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 53.

The spelling of 814565245832 in words is "eight hundred fourteen billion, five hundred sixty-five million, two hundred forty-five thousand, eight hundred thirty-two".