144416415 has 48 divisors (see below), whose sum is σ = 273006720. Its totient is φ = 64621440.

The previous prime is 144416387. The next prime is 144416417. The reversal of 144416415 is 514614441.

It is not a de Polignac number, because 144416415 - 2¹⁶ = 144350879 is a prime.

It is a super-2 number, since 2×144416415² = 41712201842904450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144416417) 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 47 ways as a sum of consecutive naturals, for example, 25296 + ... + 30474.

It is an arithmetic number, because the mean of its divisors is an integer number (5687640).

Almost surely, 2^144416415 is an apocalyptic number.

144416415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144416415 is a deficient number, since it is larger than the sum of its proper divisors (128590305).

144416415 is a wasteful number, since it uses less digits than its factorization.

144416415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5211 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 144416415 is about 12017.3380995959. The cubic root of 144416415 is about 524.6530315127.

The spelling of 144416415 in words is "one hundred forty-four million, four hundred sixteen thousand, four hundred fifteen".