144782108286816 has 1536 divisors, whose sum is σ = 553625365708800. Its totient is φ = 31887711313920.

The previous prime is 144782108286811. The next prime is 144782108286839. The reversal of 144782108286816 is 618682801287441.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144782108286811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10912943415 + ... + 10912956681.

It is an arithmetic number, because the mean of its divisors is an integer number (360433180800).

Almost surely, 2^{144782108286816} is an apocalyptic number.

144782108286816 is a gapful number since it is divisible by the number (16) 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 144782108286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276812682854400).

144782108286816 is an abundant number, since it is smaller than the sum of its proper divisors (408843257421984).

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

144782108286816 is a wasteful number, since it uses less digits than its factorization.

144782108286816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 66.

The spelling of 144782108286816 in words is "one hundred forty-four trillion, seven hundred eighty-two billion, one hundred eight million, two hundred eighty-six thousand, eight hundred sixteen".