456337271021 has 2 divisors, whose sum is σ = 456337271022. Its totient is φ = 456337271020.

The previous prime is 456337270973. The next prime is 456337271023. The reversal of 456337271021 is 120172733654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456266475625 + 70795396 = 675475^2 + 8414^2 .

It is a cyclic number.

It is not a de Polignac number, because 456337271021 - 2¹⁸ = 456337008877 is a prime.

Together with 456337271023, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456337271021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456337271023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228168635510 + 228168635511.

It is an arithmetic number, because the mean of its divisors is an integer number (228168635511).

Almost surely, 2^456337271021 is an apocalyptic number.

It is an amenable number.

456337271021 is a deficient number, since it is larger than the sum of its proper divisors (1).

456337271021 is an equidigital number, since it uses as much as digits as its factorization.

456337271021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 456337271021 in words is "four hundred fifty-six billion, three hundred thirty-seven million, two hundred seventy-one thousand, twenty-one".