456677841028 has 54 divisors (see below), whose sum is σ = 823182906938. Its totient is φ = 221640370560.

The previous prime is 456677841019. The next prime is 456677841043. The reversal of 456677841028 is 820148776654.

It can be written as a sum of positive squares in 3 ways, for example, as 1536012864 + 455141828164 = 39192^2 + 674642^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 819888126 + ... + 819888682.

Almost surely, 2^456677841028 is an apocalyptic number.

It is an amenable number.

456677841028 is a deficient number, since it is larger than the sum of its proper divisors (366505065910).

456677841028 is an frugal number, since it uses more digits than its factorization.

456677841028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 456677841028 in words is "four hundred fifty-six billion, six hundred seventy-seven million, eight hundred forty-one thousand, twenty-eight".