456222231204201 has 96 divisors (see below), whose sum is σ = 841095786435840. Its totient is φ = 231437627136000.

The previous prime is 456222231204199. The next prime is 456222231204227. The reversal of 456222231204201 is 102402132222654.

456222231204201 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 2 + 223 + 1 + 2 + 0 + 420 + 1 = 666.

It is not a de Polignac number, because 456222231204201 - 2¹ = 456222231204199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456222231204301) 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, 39535116 + ... + 49754093.

It is an arithmetic number, because the mean of its divisors is an integer number (8761414442040).

Almost surely, 2^{456222231204201} is an apocalyptic number.

It is an amenable number.

456222231204201 is a deficient number, since it is larger than the sum of its proper divisors (384873555231639).

456222231204201 is a wasteful number, since it uses less digits than its factorization.

456222231204201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89289407 (or 89289404 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 456222231204201 its reverse (102402132222654), we get a palindrome (558624363426855).

The spelling of 456222231204201 in words is "four hundred fifty-six trillion, two hundred twenty-two billion, two hundred thirty-one million, two hundred four thousand, two hundred one".