1322433668352 has 432 divisors, whose sum is σ = 3788541899520. Its totient is φ = 409139527680.

The previous prime is 1322433668287. The next prime is 1322433668359. The reversal of 1322433668352 is 2538663342231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3732480) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322433668359) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2157313998 + ... + 2157314610.

Almost surely, 2^{1322433668352} is an apocalyptic number.

1322433668352 is a gapful number since it is divisible by the number (12) 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 1322433668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894270949760).

1322433668352 is an abundant number, since it is smaller than the sum of its proper divisors (2466108231168).

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

1322433668352 is an equidigital number, since it uses as much as digits as its factorization.

1322433668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 765 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 1322433668352 in words is "one trillion, three hundred twenty-two billion, four hundred thirty-three million, six hundred sixty-eight thousand, three hundred fifty-two".