221143245523200 has 5184 divisors, whose sum is σ = 1137899641761792. Its totient is φ = 39467542118400.

The previous prime is 221143245523181. The next prime is 221143245523201. The reversal of 221143245523200 is 2325542341122.

221143245523200 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 324 + 5 + 5 + 2 + 320 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221143245523201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 49066615347 + ... + 49066619853.

Almost surely, 2^{221143245523200} is an apocalyptic number.

221143245523200 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 221143245523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568949820880896).

221143245523200 is an abundant number, since it is smaller than the sum of its proper divisors (916756396238592).

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

221143245523200 is a wasteful number, since it uses less digits than its factorization.

221143245523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 221143245523200 its reverse (2325542341122), we get a palindrome (223468787864322).

The spelling of 221143245523200 in words is "two hundred twenty-one trillion, one hundred forty-three billion, two hundred forty-five million, five hundred twenty-three thousand, two hundred".