144765614112 has 768 divisors, whose sum is σ = 493516800000. Its totient is φ = 36984729600.

The previous prime is 144765614099. The next prime is 144765614113. The reversal of 144765614112 is 211416567441.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (144765614113) 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 127 ways as a sum of consecutive naturals, for example, 1433322862 + ... + 1433322962.

It is an arithmetic number, because the mean of its divisors is an integer number (642600000).

Almost surely, 2^144765614112 is an apocalyptic number.

144765614112 is a gapful number since it is divisible by the number (12) 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 144765614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400000).

144765614112 is an abundant number, since it is smaller than the sum of its proper divisors (348751185888).

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

144765614112 is a wasteful number, since it uses less digits than its factorization.

144765614112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The spelling of 144765614112 in words is "one hundred forty-four billion, seven hundred sixty-five million, six hundred fourteen thousand, one hundred twelve".