1355689643328 has 168 divisors, whose sum is σ = 3900185446248. Its totient is φ = 450230550528.

The previous prime is 1355689643323. The next prime is 1355689643377. The reversal of 1355689643328 is 8233469865531.

It is a happy number.

1355689643328 is a `hidden beast` number, since 1 + 3 + 5 + 568 + 9 + 6 + 43 + 3 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46056593664 + 1309633049664 = 214608^2 + 1144392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355689643323) 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 23 ways as a sum of consecutive naturals, for example, 332845900 + ... + 332849972.

It is an arithmetic number, because the mean of its divisors is an integer number (23215389561).

Almost surely, 2^{1355689643328} is an apocalyptic number.

1355689643328 is a gapful number since it is divisible by the number (18) 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 1355689643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950092723124).

1355689643328 is an abundant number, since it is smaller than the sum of its proper divisors (2544495802920).

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

1355689643328 is a wasteful number, since it uses less digits than its factorization.

1355689643328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6068 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 1355689643328 in words is "one trillion, three hundred fifty-five billion, six hundred eighty-nine million, six hundred forty-three thousand, three hundred twenty-eight".