104450211144 has 192 divisors, whose sum is σ = 297618572160. Its totient is φ = 33029821440.

The previous prime is 104450211077. The next prime is 104450211149. The reversal of 104450211144 is 441112054401.

It is a happy number.

104450211144 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 502 + 11 + 144 = 666.

It is not an unprimeable number, because it can be changed into a prime (104450211149) 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 47 ways as a sum of consecutive naturals, for example, 162441687 + ... + 162442329.

It is an arithmetic number, because the mean of its divisors is an integer number (1550096730).

Almost surely, 2^104450211144 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 104450211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148809286080).

104450211144 is an abundant number, since it is smaller than the sum of its proper divisors (193168361016).

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

104450211144 is a wasteful number, since it uses less digits than its factorization.

104450211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 104450211144 its reverse (441112054401), we get a palindrome (545562265545).

The spelling of 104450211144 in words is "one hundred four billion, four hundred fifty million, two hundred eleven thousand, one hundred forty-four".