144789287715360 has 960 divisors, whose sum is σ = 533553473198592. Its totient is φ = 36947024584704.

The previous prime is 144789287715353. The next prime is 144789287715383. The reversal of 144789287715360 is 63517782987441.

It is a happy number.

144789287715360 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 8 + 9 + 2 + 87 + 7 + 1 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9459016827 + ... + 9459032133.

It is a 1-persistent number, because it is pandigital, but 2⋅144789287715360 = 289578575430720 is not.

Almost surely, 2^{144789287715360} is an apocalyptic number.

144789287715360 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 144789287715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266776736599296).

144789287715360 is an abundant number, since it is smaller than the sum of its proper divisors (388764185483232).

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

144789287715360 is a wasteful number, since it uses less digits than its factorization.

144789287715360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 144789287715360 in words is "one hundred forty-four trillion, seven hundred eighty-nine billion, two hundred eighty-seven million, seven hundred fifteen thousand, three hundred sixty".