456961859712 has 384 divisors, whose sum is σ = 1420470604800. Its totient is φ = 140592291840.

The previous prime is 456961859677. The next prime is 456961859729. The reversal of 456961859712 is 217958169654.

456961859712 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 618 + 5 + 9 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 456961859712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418079838 + ... + 418080930.

It is an arithmetic number, because the mean of its divisors is an integer number (3699142200).

Almost surely, 2^456961859712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456961859712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710235302400).

456961859712 is an abundant number, since it is smaller than the sum of its proper divisors (963508745088).

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

456961859712 is a wasteful number, since it uses less digits than its factorization.

456961859712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1661 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 456961859712 in words is "four hundred fifty-six billion, nine hundred sixty-one million, eight hundred fifty-nine thousand, seven hundred twelve".