144335979109728 has 192 divisors, whose sum is σ = 483239406021120. Its totient is φ = 41057181835776.

The previous prime is 144335979109669. The next prime is 144335979109747. The reversal of 144335979109728 is 827901979533441.

144335979109728 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 3 + 597 + 9 + 1 + 0 + 9 + 7 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51193351 + ... + 53939142.

It is an arithmetic number, because the mean of its divisors is an integer number (2516871906360).

Almost surely, 2^{144335979109728} is an apocalyptic number.

144335979109728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144335979109728 is an abundant number, since it is smaller than the sum of its proper divisors (338903426911392).

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

144335979109728 is a wasteful number, since it uses less digits than its factorization.

144335979109728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105132746 (or 105132732 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 144335979109728 in words is "one hundred forty-four trillion, three hundred thirty-five billion, nine hundred seventy-nine million, one hundred nine thousand, seven hundred twenty-eight".