22245666788900 has 36 divisors (see below), whose sum is σ = 48552132212052. Its totient is φ = 8846831640960.

The previous prime is 22245666788767. The next prime is 22245666788921. The reversal of 22245666788900 is 988766654222.

It can be written as a sum of positive squares in 6 ways, for example, as 1632813729856 + 20612853059044 = 1277816^2 + 4540138^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642921047 + ... + 642955646.

Almost surely, 2^{22245666788900} is an apocalyptic number.

22245666788900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22245666788900 is an abundant number, since it is smaller than the sum of its proper divisors (26306465423152).

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

22245666788900 is a wasteful number, since it uses less digits than its factorization.

22245666788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285876880 (or 1285876873 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 65.

The spelling of 22245666788900 in words is "twenty-two trillion, two hundred forty-five billion, six hundred sixty-six million, seven hundred eighty-eight thousand, nine hundred".