144646344976 has 225 divisors, whose sum is σ = 353909668179. Its totient is φ = 57103366656.

The previous prime is 144646344949. The next prime is 144646344989. The reversal of 144646344976 is 679443646441.

The square root of 144646344976 is 380324.

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

It can be written as a sum of positive squares in 2 ways, for example, as 44891439376 + 99754905600 = 211876^2 + 315840^2 .

It is a super-2 number, since 2×144646344976² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144646344976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3077581785 + ... + 3077581831.

Almost surely, 2^144646344976 is an apocalyptic number.

144646344976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144646344976 is the 380324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144646344976

144646344976 is an abundant number, since it is smaller than the sum of its proper divisors (209263323203).

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

144646344976 is an frugal number, since it uses more digits than its factorization.

144646344976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 73 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 58.

The spelling of 144646344976 in words is "one hundred forty-four billion, six hundred forty-six million, three hundred forty-four thousand, nine hundred seventy-six".