144014715648 has 432 divisors, whose sum is σ = 443552578560. Its totient is φ = 44844957696.

The previous prime is 144014715601. The next prime is 144014715679. The reversal of 144014715648 is 846517410441.

144014715648 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 14 + 71 + 564 + 8 = 666.

144014715648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×144014715648³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602571913 + ... + 602572151.

It is an arithmetic number, because the mean of its divisors is an integer number (1026742080).

Almost surely, 2^144014715648 is an apocalyptic number.

144014715648 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 144014715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221776289280).

144014715648 is an abundant number, since it is smaller than the sum of its proper divisors (299537862912).

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

144014715648 is a wasteful number, since it uses less digits than its factorization.

144014715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 144014715648 in words is "one hundred forty-four billion, fourteen million, seven hundred fifteen thousand, six hundred forty-eight".