1343648080224 has 216 divisors, whose sum is σ = 3990036992760. Its totient is φ = 445368098304.

The previous prime is 1343648080217. The next prime is 1343648080241. The reversal of 1343648080224 is 4220808463431.

It is a happy number.

1343648080224 is a `hidden beast` number, since 1 + 343 + 6 + 4 + 8 + 0 + 80 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1343648080224.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 37563532 + ... + 37599284.

It is an arithmetic number, because the mean of its divisors is an integer number (18472393485).

Almost surely, 2^{1343648080224} 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 1343648080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995018496380).

1343648080224 is an abundant number, since it is smaller than the sum of its proper divisors (2646388912536).

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

1343648080224 is an frugal number, since it uses more digits than its factorization.

1343648080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35966 (or 35937 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1343648080224 in words is "one trillion, three hundred forty-three billion, six hundred forty-eight million, eighty thousand, two hundred twenty-four".