456481863006 has 256 divisors, whose sum is σ = 1061258526720. Its totient is φ = 129836044800.

The previous prime is 456481862999. The next prime is 456481863031. The reversal of 456481863006 is 600368184654.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 456481863006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1909965835 + ... + 1909966073.

It is an arithmetic number, because the mean of its divisors is an integer number (4145541120).

Almost surely, 2^456481863006 is an apocalyptic number.

456481863006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456481863006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530629263360).

456481863006 is an abundant number, since it is smaller than the sum of its proper divisors (604776663714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456481863006 is a wasteful number, since it uses less digits than its factorization.

456481863006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 456481863006 in words is "four hundred fifty-six billion, four hundred eighty-one million, eight hundred sixty-three thousand, six".