144053786016 has 576 divisors, whose sum is σ = 514435743360. Its totient is φ = 39051694080.

The previous prime is 144053786011. The next prime is 144053786089. The reversal of 144053786016 is 610687350441.

144053786016 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 5 + 37 + 8 + 601 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (144053786011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64222591 + ... + 64224833.

It is an arithmetic number, because the mean of its divisors is an integer number (893117610).

Almost surely, 2^144053786016 is an apocalyptic number.

144053786016 is a gapful number since it is divisible by the number (16) 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 144053786016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257217871680).

144053786016 is an abundant number, since it is smaller than the sum of its proper divisors (370381957344).

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

144053786016 is a wasteful number, since it uses less digits than its factorization.

144053786016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 144053786016 in words is "one hundred forty-four billion, fifty-three million, seven hundred eighty-six thousand, sixteen".