352265435712 has 336 divisors, whose sum is σ = 1054442188800. Its totient is φ = 112317373440.

The previous prime is 352265435657. The next prime is 352265435741. The reversal of 352265435712 is 217534562253.

352265435712 is a `hidden beast` number, since 3 + 5 + 2 + 26 + 54 + 3 + 571 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981240589 + ... + 981240947.

It is an arithmetic number, because the mean of its divisors is an integer number (3138220800).

Almost surely, 2^352265435712 is an apocalyptic number.

352265435712 is a gapful number since it is divisible by the number (32) 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 352265435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527221094400).

352265435712 is an abundant number, since it is smaller than the sum of its proper divisors (702176753088).

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

352265435712 is a wasteful number, since it uses less digits than its factorization.

352265435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

Adding to 352265435712 its reverse (217534562253), we get a palindrome (569799997965).

The spelling of 352265435712 in words is "three hundred fifty-two billion, two hundred sixty-five million, four hundred thirty-five thousand, seven hundred twelve".