22805209230400 has 189 divisors, whose sum is σ = 56449353049887. Its totient is φ = 9068063462400.

The previous prime is 22805209230337. The next prime is 22805209230527. The reversal of 22805209230400 is 403290250822.

The square root of 22805209230400 is 4775480.

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 5225905728576 + 17579303501824 = 2286024^2 + 4192768^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22805209230400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52912318185 + ... + 52912318615.

Almost surely, 2^{22805209230400} is an apocalyptic number.

22805209230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22805209230400 is the 4775480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22805209230400

22805209230400 is an abundant number, since it is smaller than the sum of its proper divisors (33644143819487).

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

22805209230400 is an frugal number, since it uses more digits than its factorization.

22805209230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 22805209230400 in words is "twenty-two trillion, eight hundred five billion, two hundred nine million, two hundred thirty thousand, four hundred".