456344417106830 has 16 divisors (see below), whose sum is σ = 938765658048480. Its totient is φ = 156460943008032.

The previous prime is 456344417106803. The next prime is 456344417106841. The reversal of 456344417106830 is 38601714443654.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3259602979265 + ... + 3259602979404.

It is an arithmetic number, because the mean of its divisors is an integer number (58672853628030).

Almost surely, 2^{456344417106830} is an apocalyptic number.

456344417106830 is an abundant number, since it is smaller than the sum of its proper divisors (482421240941650).

456344417106830 is a wasteful number, since it uses less digits than its factorization.

456344417106830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519205958683.

The product of its (nonzero) digits is 23224320, while the sum is 56.

The spelling of 456344417106830 in words is "four hundred fifty-six trillion, three hundred forty-four billion, four hundred seventeen million, one hundred six thousand, eight hundred thirty".