814208220820 has 48 divisors (see below), whose sum is σ = 1735876977408. Its totient is φ = 320733701120.

The previous prime is 814208220809. The next prime is 814208220823. The reversal of 814208220820 is 28022802418.

It is a self number, because there is not a number n which added to its sum of digits gives 814208220820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814208220823) by changing a digit.

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, 936324 + ... + 1582756.

It is an arithmetic number, because the mean of its divisors is an integer number (36164103696).

Almost surely, 2^814208220820 is an apocalyptic number.

It is an amenable number.

814208220820 is an abundant number, since it is smaller than the sum of its proper divisors (921668756588).

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

814208220820 is a wasteful number, since it uses less digits than its factorization.

814208220820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647400 (or 647398 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The spelling of 814208220820 in words is "eight hundred fourteen billion, two hundred eight million, two hundred twenty thousand, eight hundred twenty".