456824782116 has 72 divisors (see below), whose sum is σ = 1162390387704. Its totient is φ = 151268083200.

The previous prime is 456824782111. The next prime is 456824782159. The reversal of 456824782116 is 611287428654.

456824782116 is a `hidden beast` number, since 4 + 56 + 8 + 2 + 478 + 2 + 116 = 666.

456824782116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 315226102500 + 141598679616 = 561450^2 + 376296^2 .

It is not an unprimeable number, because it can be changed into a prime (456824782111) 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, 32780286 + ... + 32794218.

Almost surely, 2^456824782116 is an apocalyptic number.

It is an amenable number.

456824782116 is an abundant number, since it is smaller than the sum of its proper divisors (705565605588).

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

456824782116 is a wasteful number, since it uses less digits than its factorization.

456824782116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901 (or 19896 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 456824782116 in words is "four hundred fifty-six billion, eight hundred twenty-four million, seven hundred eighty-two thousand, one hundred sixteen".