455438778912 has 288 divisors, whose sum is σ = 1470152174400. Its totient is φ = 132582168576.

The previous prime is 455438778869. The next prime is 455438778929. The reversal of 455438778912 is 219877834554.

455438778912 is a `hidden beast` number, since 4 + 5 + 543 + 8 + 7 + 7 + 89 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 455438778912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58967883 + ... + 58975605.

It is an arithmetic number, because the mean of its divisors is an integer number (5104695050).

Almost surely, 2^455438778912 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 455438778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735076087200).

455438778912 is an abundant number, since it is smaller than the sum of its proper divisors (1014713395488).

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

455438778912 is a wasteful number, since it uses less digits than its factorization.

455438778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 8589 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 455438778912 in words is "four hundred fifty-five billion, four hundred thirty-eight million, seven hundred seventy-eight thousand, nine hundred twelve".