22455430433200 has 480 divisors, whose sum is σ = 58153827916800. Its totient is φ = 8319136358400.

The previous prime is 22455430433171. The next prime is 22455430433201. The reversal of 22455430433200 is 233403455422.

It is a self number, because there is not a number n which added to its sum of digits gives 22455430433200.

It is not an unprimeable number, because it can be changed into a prime (22455430433201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4938513327 + ... + 4938517873.

It is an arithmetic number, because the mean of its divisors is an integer number (121153808160).

Almost surely, 2^{22455430433200} is an apocalyptic number.

22455430433200 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 22455430433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29076913958400).

22455430433200 is an abundant number, since it is smaller than the sum of its proper divisors (35698397483600).

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

22455430433200 is a wasteful number, since it uses less digits than its factorization.

22455430433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 37.

Adding to 22455430433200 its reverse (233403455422), we get a palindrome (22688833888622).

The spelling of 22455430433200 in words is "twenty-two trillion, four hundred fifty-five billion, four hundred thirty million, four hundred thirty-three thousand, two hundred".