819220480128 has 168 divisors, whose sum is σ = 2447767942095. Its totient is φ = 272981332224.

The previous prime is 819220480121. The next prime is 819220480129. The reversal of 819220480128 is 821084022918.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

819220480128 is a `hidden beast` number, since 81 + 92 + 2 + 0 + 480 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409610240064 + 409610240064 = 640008^2 + 640008^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=640008.

It is a super-2 number, since 2×819220480128² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (819220480121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 276481975 + ... + 276484937.

Almost surely, 2^819220480128 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 819220480128

819220480128 is an abundant number, since it is smaller than the sum of its proper divisors (1628547461967).

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

819220480128 is an frugal number, since it uses more digits than its factorization.

819220480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 819220480128 in words is "eight hundred nineteen billion, two hundred twenty million, four hundred eighty thousand, one hundred twenty-eight".