144314215320 has 256 divisors, whose sum is σ = 476331840000. Its totient is φ = 34688102400.

The previous prime is 144314215273. The next prime is 144314215327. The reversal of 144314215320 is 23512413441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144314215327) 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 63 ways as a sum of consecutive naturals, for example, 84939831 + ... + 84941529.

It is an arithmetic number, because the mean of its divisors is an integer number (1860671250).

Almost surely, 2^144314215320 is an apocalyptic number.

144314215320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144314215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238165920000).

144314215320 is an abundant number, since it is smaller than the sum of its proper divisors (332017624680).

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

144314215320 is a wasteful number, since it uses less digits than its factorization.

144314215320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 144314215320 its reverse (23512413441), we get a palindrome (167826628761).

The spelling of 144314215320 in words is "one hundred forty-four billion, three hundred fourteen million, two hundred fifteen thousand, three hundred twenty".