456642356354461 has 8 divisors (see below), whose sum is σ = 460698366494520. Its totient is φ = 452586608097792.

The previous prime is 456642356354447. The next prime is 456642356354473. The reversal of 456642356354461 is 164453653246654.

It can be written as a sum of positive squares in 4 ways, for example, as 42084659078361 + 414557697276100 = 6487269^2 + 20360690^2 .

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 456642356354461 - 2¹⁵ = 456642356321693 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456642356354393 and 456642356354402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456642356954461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61967160 + ... + 68943553.

It is an arithmetic number, because the mean of its divisors is an integer number (57587295811815).

Almost surely, 2^{456642356354461} is an apocalyptic number.

It is an amenable number.

456642356354461 is a deficient number, since it is larger than the sum of its proper divisors (4056010140059).

456642356354461 is a wasteful number, since it uses less digits than its factorization.

456642356354461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130941695.

The product of its digits is 746496000, while the sum is 64.

The spelling of 456642356354461 in words is "four hundred fifty-six trillion, six hundred forty-two billion, three hundred fifty-six million, three hundred fifty-four thousand, four hundred sixty-one".