8144365138560 has 1344 divisors, whose sum is σ = 34790087039400. Its totient is φ = 1815956029440.

The previous prime is 8144365138397. The next prime is 8144365138561. The reversal of 8144365138560 is 658315634418.

It is a happy number.

8144365138560 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 3 + 65 + 13 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6171329134656 + 1973036003904 = 2484216^2 + 1404648^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8144365138497 and 8144365138506.

It is not an unprimeable number, because it can be changed into a prime (8144365138561) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 937314696 + ... + 937323384.

Almost surely, 2^{8144365138560} is an apocalyptic number.

8144365138560 is a gapful number since it is divisible by the number (80) 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 8144365138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395043519700).

8144365138560 is an abundant number, since it is smaller than the sum of its proper divisors (26645721900840).

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

8144365138560 is an equidigital number, since it uses as much as digits as its factorization.

8144365138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8781 (or 8747 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 8144365138560 in words is "eight trillion, one hundred forty-four billion, three hundred sixty-five million, one hundred thirty-eight thousand, five hundred sixty".