456671334339 has 144 divisors (see below), whose sum is σ = 796016108160. Its totient is φ = 250925875200.

The previous prime is 456671334331. The next prime is 456671334341. The reversal of 456671334339 is 933433176654.

456671334339 is a `hidden beast` number, since 4 + 566 + 7 + 1 + 3 + 3 + 43 + 39 = 666.

It is not a de Polignac number, because 456671334339 - 2³ = 456671334331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456671334331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 344137494 + ... + 344138820.

It is an arithmetic number, because the mean of its divisors is an integer number (5527889640).

Almost surely, 2^456671334339 is an apocalyptic number.

456671334339 is a deficient number, since it is larger than the sum of its proper divisors (339344773821).

456671334339 is a wasteful number, since it uses less digits than its factorization.

456671334339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2028 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 54.

The spelling of 456671334339 in words is "four hundred fifty-six billion, six hundred seventy-one million, three hundred thirty-four thousand, three hundred thirty-nine".