1359645116544 has 576 divisors, whose sum is σ = 4746972859200. Its totient is φ = 370019819520.

The previous prime is 1359645116519. The next prime is 1359645116563. The reversal of 1359645116544 is 4456115469531.

1359645116544 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 64 + 511 + 65 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79229437 + ... + 79246595.

It is an arithmetic number, because the mean of its divisors is an integer number (8241272325).

Almost surely, 2^{1359645116544} 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 1359645116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373486429600).

1359645116544 is an abundant number, since it is smaller than the sum of its proper divisors (3387327742656).

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

1359645116544 is a wasteful number, since it uses less digits than its factorization.

1359645116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17225 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 1359645116544 in words is "one trillion, three hundred fifty-nine billion, six hundred forty-five million, one hundred sixteen thousand, five hundred forty-four".