352465776768 has 256 divisors, whose sum is σ = 1090091658240. Its totient is φ = 98820034560.

The previous prime is 352465776749. The next prime is 352465776797. The reversal of 352465776768 is 867677564253.

It is a junction number, because it is equal to n+sod(n) for n = 352465776699 and 352465776708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76570755 + ... + 76575357.

It is an arithmetic number, because the mean of its divisors is an integer number (4258170540).

Almost surely, 2^352465776768 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 352465776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545045829120).

352465776768 is an abundant number, since it is smaller than the sum of its proper divisors (737625881472).

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

352465776768 is a wasteful number, since it uses less digits than its factorization.

352465776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155 (or 5143 counting only the distinct ones).

The product of its digits is 355622400, while the sum is 66.

The spelling of 352465776768 in words is "three hundred fifty-two billion, four hundred sixty-five million, seven hundred seventy-six thousand, seven hundred sixty-eight".