345335541842304 has 192 divisors, whose sum is σ = 1070765018887200. Its totient is φ = 106199049093120.

The previous prime is 345335541842299. The next prime is 345335541842387. The reversal of 345335541842304 is 403248145533543.

345335541842304 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 3 + 554 + 1 + 84 + 2 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21124152 + ... + 33717960.

Almost surely, 2^{345335541842304} 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 345335541842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535382509443600).

345335541842304 is an abundant number, since it is smaller than the sum of its proper divisors (725429477044896).

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

345335541842304 is a wasteful number, since it uses less digits than its factorization.

345335541842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12595673 (or 12595658 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 345335541842304 in words is "three hundred forty-five trillion, three hundred thirty-five billion, five hundred forty-one million, eight hundred forty-two thousand, three hundred four".