144786327504 has 160 divisors (see below), whose sum is σ = 461655285504. Its totient is φ = 38076825600.

The previous prime is 144786327503. The next prime is 144786327523. The reversal of 144786327504 is 405723687441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144786327503) 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 31 ways as a sum of consecutive naturals, for example, 1494954 + ... + 1588854.

Almost surely, 2^144786327504 is an apocalyptic number.

144786327504 is a gapful number since it is divisible by the number (14) 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 144786327504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230827642752).

144786327504 is an abundant number, since it is smaller than the sum of its proper divisors (316868958000).

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

144786327504 is a wasteful number, since it uses less digits than its factorization.

144786327504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94285 (or 94279 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 144786327504 in words is "one hundred forty-four billion, seven hundred eighty-six million, three hundred twenty-seven thousand, five hundred four".