22766544244900 has 81 divisors (see below), whose sum is σ = 49928115131139. Its totient is φ = 9010902812160.

The previous prime is 22766544244897. The next prime is 22766544244901. The reversal of 22766544244900 is 944244566722.

The square root of 22766544244900 is 4771430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 837104224356 + 21929440020544 = 914934^2 + 4682888^2 .

It is a super-2 number, since 2×22766544244900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22766544244901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4628284641 + ... + 4628289559.

Almost surely, 2^{22766544244900} is an apocalyptic number.

22766544244900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22766544244900 is the 4771430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22766544244900

22766544244900 is an abundant number, since it is smaller than the sum of its proper divisors (27161570886239).

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

22766544244900 is an frugal number, since it uses more digits than its factorization.

22766544244900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 22766544244900 in words is "twenty-two trillion, seven hundred sixty-six billion, five hundred forty-four million, two hundred forty-four thousand, nine hundred".