1352433941664 has 384 divisors, whose sum is σ = 4033001871360. Its totient is φ = 393961881600.

The previous prime is 1352433941647. The next prime is 1352433941701. The reversal of 1352433941664 is 4661493342531.

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 63 ways as a sum of consecutive naturals, for example, 464912242 + ... + 464915150.

It is an arithmetic number, because the mean of its divisors is an integer number (10502609040).

Almost surely, 2^{1352433941664} 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 1352433941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016500935680).

1352433941664 is an abundant number, since it is smaller than the sum of its proper divisors (2680567929696).

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

1352433941664 is a wasteful number, since it uses less digits than its factorization.

1352433941664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3216 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 1352433941664 in words is "one trillion, three hundred fifty-two billion, four hundred thirty-three million, nine hundred forty-one thousand, six hundred sixty-four".