345811589000 has 128 divisors (see below), whose sum is σ = 841314539520. Its totient is φ = 132935616000.

The previous prime is 345811588999. The next prime is 345811589051. The reversal of 345811589000 is 985118543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2684057 + ... + 2809943.

It is an arithmetic number, because the mean of its divisors is an integer number (6572769840).

Almost surely, 2^345811589000 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 345811589000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420657269760).

345811589000 is an abundant number, since it is smaller than the sum of its proper divisors (495502950520).

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

345811589000 is a wasteful number, since it uses less digits than its factorization.

345811589000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126016 (or 126002 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 345811589000 in words is "three hundred forty-five billion, eight hundred eleven million, five hundred eighty-nine thousand".