1329160854336 has 224 divisors, whose sum is σ = 4260565601280. Its totient is φ = 357000044544.

The previous prime is 1329160854299. The next prime is 1329160854367. The reversal of 1329160854336 is 6334580619231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19592571 + ... + 19660293.

Almost surely, 2^{1329160854336} is an apocalyptic number.

1329160854336 is a gapful number since it is divisible by the number (16) 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 1329160854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130282800640).

1329160854336 is an abundant number, since it is smaller than the sum of its proper divisors (2931404746944).

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

1329160854336 is a wasteful number, since it uses less digits than its factorization.

1329160854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68621 (or 68611 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 1329160854336 in words is "one trillion, three hundred twenty-nine billion, one hundred sixty million, eight hundred fifty-four thousand, three hundred thirty-six".