144422469408100 has 189 divisors, whose sum is σ = 340134966633567. Its totient is φ = 53227732783680.

The previous prime is 144422469408097. The next prime is 144422469408101. The reversal of 144422469408100 is 1804964224441.

The square root of 144422469408100 is 12017590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 9336336913764 + 135086132494336 = 3055542^2 + 11622656^2 .

It is a super-2 number, since 2×144422469408100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144422469408101) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 264026452027 + ... + 264026452573.

Almost surely, 2^{144422469408100} is an apocalyptic number.

144422469408100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144422469408100 is the 12017590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144422469408100

144422469408100 is an abundant number, since it is smaller than the sum of its proper divisors (195712497225467).

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

144422469408100 is an frugal number, since it uses more digits than its factorization.

144422469408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 144422469408100 in words is "one hundred forty-four trillion, four hundred twenty-two billion, four hundred sixty-nine million, four hundred eight thousand, one hundred".