22805113720900 has 243 divisors, whose sum is σ = 61167329466789. Its totient is φ = 7357127285760.

The previous prime is 22805113720889. The next prime is 22805113720903. The reversal of 22805113720900 is 902731150822.

The square root of 22805113720900 is 4775470.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1505190367044 + 21299923353856 = 1226862^2 + 4615184^2 .

It is not an unprimeable number, because it can be changed into a prime (22805113720903) 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 80 ways as a sum of consecutive naturals, for example, 5682807294 + ... + 5682811306.

Almost surely, 2^{22805113720900} is an apocalyptic number.

22805113720900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22805113720900 is the 4775470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22805113720900

22805113720900 is an abundant number, since it is smaller than the sum of its proper divisors (38362215745889).

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

22805113720900 is an equidigital number, since it uses as much as digits as its factorization.

22805113720900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 22805113720900 in words is "twenty-two trillion, eight hundred five billion, one hundred thirteen million, seven hundred twenty thousand, nine hundred".