3273263144144 has 120 divisors (see below), whose sum is σ = 7816409358408. Its totient is φ = 1319449313280.

The previous prime is 3273263144141. The next prime is 3273263144147. The reversal of 3273263144144 is 4414413623723.

It is an interprime number because it is at equal distance from previous prime (3273263144141) and next prime (3273263144147).

It can be written as a sum of positive squares in 4 ways, for example, as 1003178521744 + 2270084622400 = 1001588^2 + 1506680^2 .

It is a super-2 number, since 2×3273263144144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3273263144095 and 3273263144104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273263144141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20619314 + ... + 20777454.

Almost surely, 2^{3273263144144} is an apocalyptic number.

3273263144144 is a gapful number since it is divisible by the number (34) 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 3273263144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908204679204).

3273263144144 is an abundant number, since it is smaller than the sum of its proper divisors (4543146214264).

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

3273263144144 is a wasteful number, since it uses less digits than its factorization.

3273263144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159733 (or 159720 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 44.

Adding to 3273263144144 its reverse (4414413623723), we get a palindrome (7687676767867).

The spelling of 3273263144144 in words is "three trillion, two hundred seventy-three billion, two hundred sixty-three million, one hundred forty-four thousand, one hundred forty-four".