345524433151352 has 256 divisors, whose sum is σ = 819563115571200. Its totient is φ = 132935701616640.

The previous prime is 345524433151253. The next prime is 345524433151367. The reversal of 345524433151352 is 253151334425543.

It is a self number, because there is not a number n which added to its sum of digits gives 345524433151352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2143916549 + ... + 2144077707.

It is an arithmetic number, because the mean of its divisors is an integer number (3201418420200).

Almost surely, 2^{345524433151352} 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 345524433151352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409781557785600).

345524433151352 is an abundant number, since it is smaller than the sum of its proper divisors (474038682419848).

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

345524433151352 is a wasteful number, since it uses less digits than its factorization.

345524433151352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161726 (or 161722 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 50.

Adding to 345524433151352 its reverse (253151334425543), we get a palindrome (598675767576895).

The spelling of 345524433151352 in words is "three hundred forty-five trillion, five hundred twenty-four billion, four hundred thirty-three million, one hundred fifty-one thousand, three hundred fifty-two".