144531222432100 has 72 divisors (see below), whose sum is σ = 374021667831168. Its totient is φ = 47399059276800.

The previous prime is 144531222432071. The next prime is 144531222432109. The reversal of 144531222432100 is 1234222135441.

It is a super-2 number, since 2×144531222432100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144531222432109) 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 23 ways as a sum of consecutive naturals, for example, 4488531181 + ... + 4488563380.

It is an arithmetic number, because the mean of its divisors is an integer number (5194745386544).

Almost surely, 2^{144531222432100} is an apocalyptic number.

144531222432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531222432100 is an abundant number, since it is smaller than the sum of its proper divisors (229490445399068).

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

144531222432100 is a wasteful number, since it uses less digits than its factorization.

144531222432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977094605 (or 8977094598 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 144531222432100 its reverse (1234222135441), we get a palindrome (145765444567541).

The spelling of 144531222432100 in words is "one hundred forty-four trillion, five hundred thirty-one billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred".