144756714480 has 160 divisors (see below), whose sum is σ = 512985690624. Its totient is φ = 33078647808.

The previous prime is 144756714461. The next prime is 144756714481. The reversal of 144756714480 is 84417657441.

144756714480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144756714481) 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, 8278707 + ... + 8296173.

Almost surely, 2^144756714480 is an apocalyptic number.

144756714480 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 144756714480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256492845312).

144756714480 is an abundant number, since it is smaller than the sum of its proper divisors (368228976144).

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

144756714480 is a wasteful number, since it uses less digits than its factorization.

144756714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22423 (or 22417 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 144756714480 in words is "one hundred forty-four billion, seven hundred fifty-six million, seven hundred fourteen thousand, four hundred eighty".