144448644096 has 297 divisors, whose sum is σ = 432713461089. Its totient is φ = 46410375168.

The previous prime is 144448644091. The next prime is 144448644103. The reversal of 144448644096 is 690446844441.

The square root of 144448644096 is 380064.

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

144448644096 is a `hidden beast` number, since 14 + 4 + 448 + 64 + 40 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 129254630400 + 15194013696 = 359520^2 + 123264^2 .

It is not an unprimeable number, because it can be changed into a prime (144448644091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1349987275 + ... + 1349987381.

Almost surely, 2^144448644096 is an apocalyptic number.

144448644096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144448644096 is the 380064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144448644096

144448644096 is an abundant number, since it is smaller than the sum of its proper divisors (288264816993).

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

144448644096 is an equidigital number, since it uses as much as digits as its factorization.

144448644096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

It can be divided in two parts, 144448 and 644096, that added together give a square (788544 = 888²).

The spelling of 144448644096 in words is "one hundred forty-four billion, four hundred forty-eight million, six hundred forty-four thousand, ninety-six".