345116254828800 has 3456 divisors, whose sum is σ = 1520883937198080. Its totient is φ = 66856314470400.

The previous prime is 345116254828777. The next prime is 345116254828801. The reversal of 345116254828800 is 8828452611543.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (345116254828801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332161938681 + ... + 332161939719.

It is an arithmetic number, because the mean of its divisors is an integer number (440070583680).

Almost surely, 2^{345116254828800} is an apocalyptic number.

345116254828800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345116254828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760441968599040).

345116254828800 is an abundant number, since it is smaller than the sum of its proper divisors (1175767682369280).

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

345116254828800 is a wasteful number, since it uses less digits than its factorization.

345116254828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 57.

The spelling of 345116254828800 in words is "three hundred forty-five trillion, one hundred sixteen billion, two hundred fifty-four million, eight hundred twenty-eight thousand, eight hundred".