456455213409 has 16 divisors (see below), whose sum is σ = 658716464000. Its totient is φ = 279483975936.

The previous prime is 456455213387. The next prime is 456455213437. The reversal of 456455213409 is 904312554654.

It is not a de Polignac number, because 456455213409 - 2⁷ = 456455213281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456455215409) 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, 29399224 + ... + 29414745.

It is an arithmetic number, because the mean of its divisors is an integer number (41169779000).

Almost surely, 2^456455213409 is an apocalyptic number.

It is an amenable number.

456455213409 is a deficient number, since it is larger than the sum of its proper divisors (202261250591).

456455213409 is a wasteful number, since it uses less digits than its factorization.

456455213409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58814184.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 456455213409 in words is "four hundred fifty-six billion, four hundred fifty-five million, two hundred thirteen thousand, four hundred nine".