345013653793248 has 960 divisors, whose sum is σ = 1157604805969920. Its totient is φ = 100690926336000.

The previous prime is 345013653793219. The next prime is 345013653793297. The reversal of 345013653793248 is 842397356310543.

345013653793248 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 1 + 3 + 6 + 537 + 93 + 2 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22566128388 + ... + 22566143676.

It is an arithmetic number, because the mean of its divisors is an integer number (1205838339552).

It is a 1-persistent number, because it is pandigital, but 2⋅345013653793248 = 690027307586496 is not.

Almost surely, 2^{345013653793248} 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 345013653793248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578802402984960).

345013653793248 is an abundant number, since it is smaller than the sum of its proper divisors (812591152176672).

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

345013653793248 is a wasteful number, since it uses less digits than its factorization.

345013653793248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15586 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 345013653793248 in words is "three hundred forty-five trillion, thirteen billion, six hundred fifty-three million, seven hundred ninety-three thousand, two hundred forty-eight".