1355689124316 has 192 divisors, whose sum is σ = 3665362821120. Its totient is φ = 432853632000.

The previous prime is 1355689124303. The next prime is 1355689124341. The reversal of 1355689124316 is 6134219865531.

1355689124316 is a `hidden beast` number, since 1 + 3 + 556 + 89 + 1 + 2 + 4 + 3 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134741926 + ... + 134751986.

It is an arithmetic number, because the mean of its divisors is an integer number (19090431360).

Almost surely, 2^{1355689124316} 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 1355689124316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832681410560).

1355689124316 is an abundant number, since it is smaller than the sum of its proper divisors (2309673696804).

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

1355689124316 is a wasteful number, since it uses less digits than its factorization.

1355689124316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10505 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 1355689124316 in words is "one trillion, three hundred fifty-five billion, six hundred eighty-nine million, one hundred twenty-four thousand, three hundred sixteen".