456616440321 has 16 divisors (see below), whose sum is σ = 631090913280. Its totient is φ = 293358638160.

The previous prime is 456616440277. The next prime is 456616440331. The reversal of 456616440321 is 123044616654.

It is not a de Polignac number, because 456616440321 - 2⁶ = 456616440257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456616440331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10249435 + ... + 10293888.

It is an arithmetic number, because the mean of its divisors is an integer number (39443182080).

Almost surely, 2^456616440321 is an apocalyptic number.

It is an amenable number.

456616440321 is a deficient number, since it is larger than the sum of its proper divisors (174474472959).

456616440321 is a wasteful number, since it uses less digits than its factorization.

456616440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20543596.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 456616440321 in words is "four hundred fifty-six billion, six hundred sixteen million, four hundred forty thousand, three hundred twenty-one".