144010752416 has 48 divisors (see below), whose sum is σ = 290516352840. Its totient is φ = 70229790720.

The previous prime is 144010752407. The next prime is 144010752419. The reversal of 144010752416 is 614257010441.

It can be written as a sum of positive squares in 4 ways, for example, as 77963808400 + 66046944016 = 279220^2 + 256996^2 .

It is a super-2 number, since 2×144010752416² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144010752419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5519690 + ... + 5545718.

Almost surely, 2^144010752416 is an apocalyptic number.

144010752416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144010752416 is an abundant number, since it is smaller than the sum of its proper divisors (146505600424).

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

144010752416 is a wasteful number, since it uses less digits than its factorization.

144010752416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30297 (or 30289 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 144010752416 its reverse (614257010441), we get a palindrome (758267762857).

The spelling of 144010752416 in words is "one hundred forty-four billion, ten million, seven hundred fifty-two thousand, four hundred sixteen".