345504361450352 has 120 divisors (see below), whose sum is σ = 756852000965424. Its totient is φ = 151855695710208.

The previous prime is 345504361450349. The next prime is 345504361450429. The reversal of 345504361450352 is 253054163405543.

It is a self number, because there is not a number n which added to its sum of digits gives 345504361450352.

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, 758498 + ... + 26297985.

Almost surely, 2^{345504361450352} 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 345504361450352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378426000482712).

345504361450352 is an abundant number, since it is smaller than the sum of its proper divisors (411347639515072).

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

345504361450352 is a wasteful number, since it uses less digits than its factorization.

345504361450352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27056635 (or 27056600 counting only the distinct ones).

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

The spelling of 345504361450352 in words is "three hundred forty-five trillion, five hundred four billion, three hundred sixty-one million, four hundred fifty thousand, three hundred fifty-two".