456444410055 has 32 divisors (see below), whose sum is σ = 737572566720. Its totient is φ = 241019919360.

The previous prime is 456444410029. The next prime is 456444410069. The reversal of 456444410055 is 550014444654.

It is a happy number.

456444410055 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 456444410055 - 2³³ = 447854475463 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456444409989 and 456444410016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054169 + ... + 2265501.

It is an arithmetic number, because the mean of its divisors is an integer number (23049142710).

Almost surely, 2^456444410055 is an apocalyptic number.

456444410055 is a deficient number, since it is larger than the sum of its proper divisors (281128156665).

456444410055 is a wasteful number, since it uses less digits than its factorization.

456444410055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212771.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 456444410055 in words is "four hundred fifty-six billion, four hundred forty-four million, four hundred ten thousand, fifty-five".