144105348096 has 396 divisors, whose sum is σ = 439495992936. Its totient is φ = 45459947520.

The previous prime is 144105348089. The next prime is 144105348109. The reversal of 144105348096 is 690843501441.

144105348096 is a `hidden beast` number, since 14 + 4 + 10 + 534 + 8 + 0 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469398375 + ... + 469398681.

It is an arithmetic number, because the mean of its divisors is an integer number (1109838366).

Almost surely, 2^144105348096 is an apocalyptic number.

144105348096 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 144105348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219747996468).

144105348096 is an abundant number, since it is smaller than the sum of its proper divisors (295390644840).

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

144105348096 is a wasteful number, since it uses less digits than its factorization.

144105348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 144105348096 in words is "one hundred forty-four billion, one hundred five million, three hundred forty-eight thousand, ninety-six".