3544164243144 has 192 divisors, whose sum is σ = 11464872157440. Its totient is φ = 967078379520.

The previous prime is 3544164243101. The next prime is 3544164243157. The reversal of 3544164243144 is 4413424614453.

3544164243144 is a `hidden beast` number, since 3 + 5 + 441 + 64 + 2 + 4 + 3 + 144 = 666.

It is a super-2 number, since 2×3544164243144² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3544164243144.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7191984 + ... + 7668960.

It is an arithmetic number, because the mean of its divisors is an integer number (59712875820).

Almost surely, 2^{3544164243144} 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 3544164243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732436078720).

3544164243144 is an abundant number, since it is smaller than the sum of its proper divisors (7920707914296).

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

3544164243144 is a wasteful number, since it uses less digits than its factorization.

3544164243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477660 (or 477653 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

Adding to 3544164243144 its reverse (4413424614453), we get a palindrome (7957588857597).

The spelling of 3544164243144 in words is "three trillion, five hundred forty-four billion, one hundred sixty-four million, two hundred forty-three thousand, one hundred forty-four".