345020200144000 has 256 divisors, whose sum is σ = 860812346908800. Its totient is φ = 137525113958400.

The previous prime is 345020200143919. The next prime is 345020200144007. The reversal of 345020200144000 is 441002020543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (345020200144007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7197944034 + ... + 7197991966.

Almost surely, 2^{345020200144000} 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 345020200144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430406173454400).

345020200144000 is an abundant number, since it is smaller than the sum of its proper divisors (515792146764800).

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

345020200144000 is a wasteful number, since it uses less digits than its factorization.

345020200144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49528 (or 49506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 345020200144000 its reverse (441002020543), we get a palindrome (345461202164543).

The spelling of 345020200144000 in words is "three hundred forty-five trillion, twenty billion, two hundred million, one hundred forty-four thousand".