1323105632352 has 144 divisors (see below), whose sum is σ = 4302028523520. Its totient is φ = 377860052736.

The previous prime is 1323105632341. The next prime is 1323105632363. The reversal of 1323105632352 is 2532365013231.

1323105632352 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 10 + 5 + 632 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1323105632341) and next prime (1323105632363).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 4367263 + ... + 4660385.

It is an arithmetic number, because the mean of its divisors is an integer number (29875198080).

Almost surely, 2^{1323105632352} is an apocalyptic number.

1323105632352 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 1323105632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151014261760).

1323105632352 is an abundant number, since it is smaller than the sum of its proper divisors (2978922891168).

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

1323105632352 is a wasteful number, since it uses less digits than its factorization.

1323105632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295385 (or 295374 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1323105632352 in words is "one trillion, three hundred twenty-three billion, one hundred five million, six hundred thirty-two thousand, three hundred fifty-two".