144066535052436 has 288 divisors, whose sum is σ = 391661332013952. Its totient is φ = 44492710993920.

The previous prime is 144066535052383. The next prime is 144066535052437. The reversal of 144066535052436 is 634250535660441.

144066535052436 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 6 + 65 + 3 + 50 + 524 + 3 + 6 = 666.

It is a super-2 number, since 2×144066535052436² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144066535052437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5070787071 + ... + 5070815481.

It is an arithmetic number, because the mean of its divisors is an integer number (1359935180604).

Almost surely, 2^{144066535052436} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144066535052436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195830666006976).

144066535052436 is an abundant number, since it is smaller than the sum of its proper divisors (247594796961516).

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

144066535052436 is a wasteful number, since it uses less digits than its factorization.

144066535052436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29079 (or 29074 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 144066535052436 in words is "one hundred forty-four trillion, sixty-six billion, five hundred thirty-five million, fifty-two thousand, four hundred thirty-six".