144913208474080 has 192 divisors, whose sum is σ = 360848582035200. Its totient is φ = 54842552893440.

The previous prime is 144913208474071. The next prime is 144913208474081. The reversal of 144913208474080 is 80474802319441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144913208474081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9038425744 + ... + 9038441776.

It is an arithmetic number, because the mean of its divisors is an integer number (1879419698100).

Almost surely, 2^{144913208474080} is an apocalyptic number.

144913208474080 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 144913208474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180424291017600).

144913208474080 is an abundant number, since it is smaller than the sum of its proper divisors (215935373561120).

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

144913208474080 is a wasteful number, since it uses less digits than its factorization.

144913208474080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19777 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 144913208474080 in words is "one hundred forty-four trillion, nine hundred thirteen billion, two hundred eight million, four hundred seventy-four thousand, eighty".