22300463455200 has 432 divisors, whose sum is σ = 90115822218240. Its totient is φ = 5083355612160.

The previous prime is 22300463455183. The next prime is 22300463455211. The reversal of 22300463455200 is 255436400322.

22300463455200 is a `hidden beast` number, since 2 + 2 + 30 + 0 + 4 + 63 + 45 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17893981 + ... + 19099619.

It is an arithmetic number, because the mean of its divisors is an integer number (208601440320).

Almost surely, 2^{22300463455200} is an apocalyptic number.

22300463455200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300463455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45057911109120).

22300463455200 is an abundant number, since it is smaller than the sum of its proper divisors (67815358763040).

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

22300463455200 is a wasteful number, since it uses less digits than its factorization.

22300463455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206039 (or 1206023 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 22300463455200 its reverse (255436400322), we get a palindrome (22555899855522).

The spelling of 22300463455200 in words is "twenty-two trillion, three hundred billion, four hundred sixty-three million, four hundred fifty-five thousand, two hundred".