456035406643 has 16 divisors (see below), whose sum is σ = 459026253504. Its totient is φ = 453056647680.

The previous prime is 456035406641. The next prime is 456035406689. The reversal of 456035406643 is 346604530654.

It is a cyclic number.

It is not a de Polignac number, because 456035406643 - 2¹ = 456035406641 is a prime.

It is a super-2 number, since 2×456035406643² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456035406593 and 456035406602.

It is not an unprimeable number, because it can be changed into a prime (456035406641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170351821 + ... + 170354497.

It is an arithmetic number, because the mean of its divisors is an integer number (28689140844).

Almost surely, 2^456035406643 is an apocalyptic number.

456035406643 is a deficient number, since it is larger than the sum of its proper divisors (2990846861).

456035406643 is a wasteful number, since it uses less digits than its factorization.

456035406643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542.

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 456035406643 in words is "four hundred fifty-six billion, thirty-five million, four hundred six thousand, six hundred forty-three".