1359692216064 has 1296 divisors, whose sum is σ = 5127916003392. Its totient is φ = 344128684032.

The previous prime is 1359692216063. The next prime is 1359692216089. The reversal of 1359692216064 is 4606122969531.

1359692216064 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 6 + 9 + 2 + 21 + 606 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1359692216064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359692216063) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18625920732 + ... + 18625920804.

Almost surely, 2^{1359692216064} is an apocalyptic number.

1359692216064 is a gapful number since it is divisible by the number (14) 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 1359692216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563958001696).

1359692216064 is an abundant number, since it is smaller than the sum of its proper divisors (3768223787328).

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

1359692216064 is an frugal number, since it uses more digits than its factorization.

1359692216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1359692216064 in words is "one trillion, three hundred fifty-nine billion, six hundred ninety-two million, two hundred sixteen thousand, sixty-four".