456400671470205 has 64 divisors (see below), whose sum is σ = 910439433216000. Its totient is φ = 189671130731520.

The previous prime is 456400671470201. The next prime is 456400671470207. The reversal of 456400671470205 is 502074176004654.

It is not a de Polignac number, because 456400671470205 - 2² = 456400671470201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456400671470201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118089996 + ... + 121893594.

It is an arithmetic number, because the mean of its divisors is an integer number (14225616144000).

Almost surely, 2^{456400671470205} is an apocalyptic number.

It is an amenable number.

456400671470205 is a deficient number, since it is larger than the sum of its proper divisors (454038761745795).

456400671470205 is a wasteful number, since it uses less digits than its factorization.

456400671470205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907514.

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 456400671470205 in words is "four hundred fifty-six trillion, four hundred billion, six hundred seventy-one million, four hundred seventy thousand, two hundred five".