352865541419776 has 144 divisors (see below), whose sum is σ = 878872110617088. Its totient is φ = 137367659520000.

The previous prime is 352865541419723. The next prime is 352865541419777. The reversal of 352865541419776 is 677914145568253.

It is a junction number, because it is equal to n+sod(n) for n = 352865541419699 and 352865541419708.

It is not an unprimeable number, because it can be changed into a prime (352865541419777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16789276 + ... + 31426276.

It is an arithmetic number, because the mean of its divisors is an integer number (6103278545952).

Almost surely, 2^{352865541419776} 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 352865541419776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439436055308544).

352865541419776 is an abundant number, since it is smaller than the sum of its proper divisors (526006569197312).

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

352865541419776 is a wasteful number, since it uses less digits than its factorization.

352865541419776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14638258 (or 14638244 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 73.

The spelling of 352865541419776 in words is "three hundred fifty-two trillion, eight hundred sixty-five billion, five hundred forty-one million, four hundred nineteen thousand, seven hundred seventy-six".