144393407745408 has 192 divisors, whose sum is σ = 437468085600000. Its totient is φ = 45588303940608.

The previous prime is 144393407745407. The next prime is 144393407745437. The reversal of 144393407745408 is 804547704393441.

It is a happy number.

144393407745408 is a `hidden beast` number, since 1 + 4 + 43 + 9 + 3 + 40 + 7 + 7 + 4 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144393407745407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103471893 + ... + 104858091.

It is an arithmetic number, because the mean of its divisors is an integer number (2278479612500).

Almost surely, 2^{144393407745408} is an apocalyptic number.

144393407745408 is a gapful number since it is divisible by the number (18) 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 144393407745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218734042800000).

144393407745408 is an abundant number, since it is smaller than the sum of its proper divisors (293074677854592).

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

144393407745408 is a wasteful number, since it uses less digits than its factorization.

144393407745408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390997 (or 1390982 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 144393407745408 in words is "one hundred forty-four trillion, three hundred ninety-three billion, four hundred seven million, seven hundred forty-five thousand, four hundred eight".