355223347200 has 378 divisors, whose sum is σ = 1275316335189. Its totient is φ = 94510448640.

The previous prime is 355223347151. The next prime is 355223347247. The reversal of 355223347200 is 2743322553.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

355223347200 is a `hidden beast` number, since 3 + 552 + 2 + 3 + 34 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 348118880256 + 7104466944 = 590016^2 + 84288^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=421440.

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

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, 809164581 + ... + 809165019.

Almost surely, 2^355223347200 is an apocalyptic number.

355223347200 is a gapful number since it is divisible by the number (30) 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 355223347200

355223347200 is an abundant number, since it is smaller than the sum of its proper divisors (920092987989).

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

355223347200 is an frugal number, since it uses more digits than its factorization.

355223347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

Adding to 355223347200 its reverse (2743322553), we get a palindrome (357966669753).

The spelling of 355223347200 in words is "three hundred fifty-five billion, two hundred twenty-three million, three hundred forty-seven thousand, two hundred".