345323322300000 has 864 divisors, whose sum is σ = 1304503559428608. Its totient is φ = 79308432000000.

The previous prime is 345323322299983. The next prime is 345323322300001. The reversal of 345323322300000 is 3223323543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345323322300001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1191155065 + ... + 1191444935.

It is an arithmetic number, because the mean of its divisors is an integer number (1509842082672).

Almost surely, 2^{345323322300000} is an apocalyptic number.

345323322300000 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 345323322300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652251779714304).

345323322300000 is an abundant number, since it is smaller than the sum of its proper divisors (959180237128608).

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

345323322300000 is a wasteful number, since it uses less digits than its factorization.

345323322300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289958 (or 289911 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 345323322300000 its reverse (3223323543), we get a palindrome (345326545623543).

The spelling of 345323322300000 in words is "three hundred forty-five trillion, three hundred twenty-three billion, three hundred twenty-two million, three hundred thousand".