22688645827600 has 45 divisors (see below), whose sum is σ = 54509700476413. Its totient is φ = 9075420224960.

The previous prime is 22688645827597. The next prime is 22688645827607. The reversal of 22688645827600 is 672854688622.

The square root of 22688645827600 is 4763260.

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

22688645827600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8167912497936 + 14520733329664 = 2857956^2 + 3810608^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22688645827607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95146119 + ... + 95384281.

Almost surely, 2^{22688645827600} is an apocalyptic number.

22688645827600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22688645827600 is the 4763260-th square number.

It is an amenable number.

22688645827600 is an abundant number, since it is smaller than the sum of its proper divisors (31821054648813).

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

22688645827600 is an frugal number, since it uses more digits than its factorization.

22688645827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476344 (or 238170 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 64.

The spelling of 22688645827600 in words is "twenty-two trillion, six hundred eighty-eight billion, six hundred forty-five million, eight hundred twenty-seven thousand, six hundred".