1352319338496 has 192 divisors, whose sum is σ = 4121985853440. Its totient is φ = 386223390720.

The previous prime is 1352319338449. The next prime is 1352319338509. The reversal of 1352319338496 is 6948339132531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1352319338496³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150136425 + ... + 150145431.

It is an arithmetic number, because the mean of its divisors is an integer number (21468676320).

Almost surely, 2^{1352319338496} is an apocalyptic number.

1352319338496 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 1352319338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060992926720).

1352319338496 is an abundant number, since it is smaller than the sum of its proper divisors (2769666514944).

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

1352319338496 is an equidigital number, since it uses as much as digits as its factorization.

1352319338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12510 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 57.

The spelling of 1352319338496 in words is "one trillion, three hundred fifty-two billion, three hundred nineteen million, three hundred thirty-eight thousand, four hundred ninety-six".