2352468448512 has 1080 divisors, whose sum is σ = 8896362995520. Its totient is φ = 605039984640.

The previous prime is 2352468448487. The next prime is 2352468448523. The reversal of 2352468448512 is 2158448642532.

2352468448512 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 4 + 6 + 84 + 48 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 1005757039 + ... + 1005759377.

It is an arithmetic number, because the mean of its divisors is an integer number (8237373144).

Almost surely, 2^{2352468448512} 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 2352468448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448181497760).

2352468448512 is an abundant number, since it is smaller than the sum of its proper divisors (6543894547008).

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

2352468448512 is a wasteful number, since it uses less digits than its factorization.

2352468448512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2405 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 2352468448512 in words is "two trillion, three hundred fifty-two billion, four hundred sixty-eight million, four hundred forty-eight thousand, five hundred twelve".