456322601641 has 2 divisors, whose sum is σ = 456322601642. Its totient is φ = 456322601640.

The previous prime is 456322601629. The next prime is 456322601653. The reversal of 456322601641 is 146106223654.

It is a balanced prime because it is at equal distance from previous prime (456322601629) and next prime (456322601653).

It can be written as a sum of positive squares in only one way, i.e., 428473667241 + 27848934400 = 654579^2 + 166880^2 .

It is a cyclic number.

It is not a de Polignac number, because 456322601641 - 2³³ = 447732667049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456322601594 and 456322601603.

It is not a weakly prime, because it can be changed into another prime (456322601611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228161300820 + 228161300821.

It is an arithmetic number, because the mean of its divisors is an integer number (228161300821).

Almost surely, 2^456322601641 is an apocalyptic number.

It is an amenable number.

456322601641 is a deficient number, since it is larger than the sum of its proper divisors (1).

456322601641 is an equidigital number, since it uses as much as digits as its factorization.

456322601641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 456322601641 in words is "four hundred fifty-six billion, three hundred twenty-two million, six hundred one thousand, six hundred forty-one".