345287106648 has 192 divisors, whose sum is σ = 1045775577600. Its totient is φ = 102022583040.

The previous prime is 345287106643. The next prime is 345287106667. The reversal of 345287106648 is 846601782543.

It is a happy number.

345287106648 is a `hidden beast` number, since 3 + 4 + 528 + 7 + 10 + 66 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345287106594 and 345287106603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345287106643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9996015 + ... + 10030497.

It is an arithmetic number, because the mean of its divisors is an integer number (5446747800).

Almost surely, 2^345287106648 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 345287106648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522887788800).

345287106648 is an abundant number, since it is smaller than the sum of its proper divisors (700488470952).

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

345287106648 is a wasteful number, since it uses less digits than its factorization.

345287106648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34822 (or 34815 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 345287106648 in words is "three hundred forty-five billion, two hundred eighty-seven million, one hundred six thousand, six hundred forty-eight".