144828828441 has 32 divisors (see below), whose sum is σ = 234120432000. Its totient is φ = 87754933440.

The previous prime is 144828828437. The next prime is 144828828481.

144828828441 is a `hidden beast` number, since 1 + 4 + 48 + 288 + 284 + 41 = 666.

144828828441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144828828441 - 2² = 144828828437 is a prime.

It is a super-2 number, since 2×144828828441² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144828828481) 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 31 ways as a sum of consecutive naturals, for example, 1297455 + ... + 1404651.

It is an arithmetic number, because the mean of its divisors is an integer number (7316263500).

Almost surely, 2^144828828441 is an apocalyptic number.

144828828441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144828828441 is a deficient number, since it is larger than the sum of its proper divisors (89291603559).

144828828441 is a wasteful number, since it uses less digits than its factorization.

144828828441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111766 (or 111760 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 54.

The spelling of 144828828441 in words is "one hundred forty-four billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, four hundred forty-one".