144412160256 has 1215 divisors, whose sum is σ = 561759429231. Its totient is φ = 36773388288.

The previous prime is 144412160237. The next prime is 144412160257. The reversal of 144412160256 is 652061214441.

The square root of 144412160256 is 380016.

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

144412160256 is a `hidden beast` number, since 1 + 4 + 4 + 41 + 2 + 1 + 602 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18517766400 + 125894393856 = 136080^2 + 354816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144412160256.

It is not an unprimeable number, because it can be changed into a prime (144412160257) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4979729650 + ... + 4979729678.

Almost surely, 2^144412160256 is an apocalyptic number.

144412160256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144412160256 is the 380016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144412160256

144412160256 is an abundant number, since it is smaller than the sum of its proper divisors (417347268975).

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

144412160256 is an equidigital number, since it uses as much as digits as its factorization.

144412160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 144412160256 by its sum of digits (36), we get a square (5198837769216 = 2280096²).

144412160256 divided by its sum of digits (36) gives a square (4011448896 = 63336²).

Adding to 144412160256 its reverse (652061214441), we get a palindrome (796473374697).

The spelling of 144412160256 in words is "one hundred forty-four billion, four hundred twelve million, one hundred sixty thousand, two hundred fifty-six".