345259230624 has 384 divisors, whose sum is σ = 1267943362560. Its totient is φ = 88788096000.

The previous prime is 345259230611. The next prime is 345259230649. The reversal of 345259230624 is 426032952543.

345259230624 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 592 + 30 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345259230624.

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, 6693637 + ... + 6745019.

It is an arithmetic number, because the mean of its divisors is an integer number (3301935840).

Almost surely, 2^345259230624 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 345259230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633971681280).

345259230624 is an abundant number, since it is smaller than the sum of its proper divisors (922684131936).

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

345259230624 is a wasteful number, since it uses less digits than its factorization.

345259230624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51521 (or 51507 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 345259230624 in words is "three hundred forty-five billion, two hundred fifty-nine million, two hundred thirty thousand, six hundred twenty-four".