456835402816 has 189 divisors, whose sum is σ = 1006879116159. Its totient is φ = 205558898688.

The previous prime is 456835402813. The next prime is 456835402843. The reversal of 456835402816 is 618204538654.

The square root of 456835402816 is 675896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83465521216 + 373369881600 = 288904^2 + 611040^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456835402813) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4709643280 + ... + 4709643376.

It is an arithmetic number, because the mean of its divisors is an integer number (5327402731).

Almost surely, 2^456835402816 is an apocalyptic number.

456835402816 is the 675896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456835402816

456835402816 is an abundant number, since it is smaller than the sum of its proper divisors (550043713343).

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

456835402816 is an frugal number, since it uses more digits than its factorization.

456835402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 456835402816 in words is "four hundred fifty-six billion, eight hundred thirty-five million, four hundred two thousand, eight hundred sixteen".