345163803000 has 256 divisors, whose sum is σ = 1101902330880. Its totient is φ = 89928000000.

The previous prime is 345163802999. The next prime is 345163803011. The reversal of 345163803000 is 308361543.

It is a congruent number.

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, 27626755 + ... + 27639245.

It is an arithmetic number, because the mean of its divisors is an integer number (4304305980).

Almost surely, 2^345163803000 is an apocalyptic number.

345163803000 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 345163803000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550951165440).

345163803000 is an abundant number, since it is smaller than the sum of its proper divisors (756738527880).

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

345163803000 is a wasteful number, since it uses less digits than its factorization.

345163803000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12727 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 345163803000 in words is "three hundred forty-five billion, one hundred sixty-three million, eight hundred three thousand".