345369333013852 has 192 divisors, whose sum is σ = 732835660677120. Its totient is φ = 139220874777600.

The previous prime is 345369333013841. The next prime is 345369333013891. The reversal of 345369333013852 is 258310333963543.

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, 52511678788 + ... + 52511685364.

It is an arithmetic number, because the mean of its divisors is an integer number (3816852399360).

Almost surely, 2^{345369333013852} 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 345369333013852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366417830338560).

345369333013852 is an abundant number, since it is smaller than the sum of its proper divisors (387466327663268).

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

345369333013852 is a wasteful number, since it uses less digits than its factorization.

345369333013852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 58.

The spelling of 345369333013852 in words is "three hundred forty-five trillion, three hundred sixty-nine billion, three hundred thirty-three million, thirteen thousand, eight hundred fifty-two".