220820068234404 has 72 divisors (see below), whose sum is σ = 558478294297560. Its totient is φ = 73567893798912.

The previous prime is 220820068234333. The next prime is 220820068234421. The reversal of 220820068234404 is 404432860028022.

220820068234404 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 2 + 0 + 0 + 6 + 8 + 234 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15009425640000 + 205810642594404 = 3874200^2 + 14346102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220820068234404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374058984 + ... + 1374219680.

It is an arithmetic number, because the mean of its divisors is an integer number (7756642976355).

Almost surely, 2^{220820068234404} is an apocalyptic number.

It is an amenable number.

220820068234404 is an abundant number, since it is smaller than the sum of its proper divisors (337658226063156).

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

220820068234404 is a wasteful number, since it uses less digits than its factorization.

220820068234404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180589 (or 180584 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 220820068234404 in words is "two hundred twenty trillion, eight hundred twenty billion, sixty-eight million, two hundred thirty-four thousand, four hundred four".