456606114444 has 84 divisors (see below), whose sum is σ = 1199147473216. Its totient is φ = 152061725088.

The previous prime is 456606114427. The next prime is 456606114449. The reversal of 456606114444 is 444411606654.

456606114444 is a `hidden beast` number, since 4 + 566 + 0 + 6 + 1 + 1 + 44 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 456606114444.

It is not an unprimeable number, because it can be changed into a prime (456606114449) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 3115557 + ... + 3258819.

Almost surely, 2^456606114444 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 456606114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599573736608).

456606114444 is an abundant number, since it is smaller than the sum of its proper divisors (742541358772).

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

456606114444 is a wasteful number, since it uses less digits than its factorization.

456606114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144378 (or 144361 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 456606114444 in words is "four hundred fifty-six billion, six hundred six million, one hundred fourteen thousand, four hundred forty-four".