220773120366096 has 135 divisors (see below), whose sum is σ = 620682752438541. Its totient is φ = 73256130974592.

The previous prime is 220773120366067. The next prime is 220773120366137. The reversal of 220773120366096 is 690663021377022.

The square root of 220773120366096 is 14858436.

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

220773120366096 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 7 + 3 + 1 + 20 + 3 + 6 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 205617359924496 + 15155760441600 = 14339364^2 + 3893040^2 .

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 26 ways as a sum of consecutive naturals, for example, 40830979425 + ... + 40830984831.

Almost surely, 2^{220773120366096} is an apocalyptic number.

220773120366096 is the 14858436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220773120366096

220773120366096 is an abundant number, since it is smaller than the sum of its proper divisors (399909632072445).

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

220773120366096 is an frugal number, since it uses more digits than its factorization.

220773120366096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11286 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 220773120366096 in words is "two hundred twenty trillion, seven hundred seventy-three billion, one hundred twenty million, three hundred sixty-six thousand, ninety-six".