456131204212211 has 8 divisors (see below), whose sum is σ = 506031536260800. Its totient is φ = 407636515320040.

The previous prime is 456131204212199. The next prime is 456131204212219. The reversal of 456131204212211 is 112212402131654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456131204212211 - 2¹⁰ = 456131204211187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456131204212219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351410788421 + ... + 351410789718.

It is an arithmetic number, because the mean of its divisors is an integer number (63253942032600).

Almost surely, 2^{456131204212211} is an apocalyptic number.

456131204212211 is a deficient number, since it is larger than the sum of its proper divisors (49900332048589).

456131204212211 is a wasteful number, since it uses less digits than its factorization.

456131204212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702821578209.

The product of its (nonzero) digits is 23040, while the sum is 35.

Adding to 456131204212211 its reverse (112212402131654), we get a palindrome (568343606343865).

The spelling of 456131204212211 in words is "four hundred fifty-six trillion, one hundred thirty-one billion, two hundred four million, two hundred twelve thousand, two hundred eleven".