456851856784 has 120 divisors (see below), whose sum is σ = 957023746560. Its totient is φ = 211124120064.

The previous prime is 456851856781. The next prime is 456851856803. The reversal of 456851856784 is 487658158654.

It is not an unprimeable number, because it can be changed into a prime (456851856781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31419564 + ... + 31434100.

It is an arithmetic number, because the mean of its divisors is an integer number (7975197888).

Almost surely, 2^456851856784 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 456851856784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478511873280).

456851856784 is an abundant number, since it is smaller than the sum of its proper divisors (500171889776).

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

456851856784 is a wasteful number, since it uses less digits than its factorization.

456851856784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14717 (or 14688 counting only the distinct ones).

The product of its digits is 258048000, while the sum is 67.

The spelling of 456851856784 in words is "four hundred fifty-six billion, eight hundred fifty-one million, eight hundred fifty-six thousand, seven hundred eighty-four".