343200122240144 has 80 divisors (see below), whose sum is σ = 734265434473200. Its totient is φ = 154389318328320.

The previous prime is 343200122240111. The next prime is 343200122240161. The reversal of 343200122240144 is 441042221002343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20907865990144 + 322292256250000 = 4572512^2 + 17952500^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343200122240144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10236167 + ... + 28127910.

It is an arithmetic number, because the mean of its divisors is an integer number (9178317930915).

Almost surely, 2^{343200122240144} is an apocalyptic number.

It is an amenable number.

343200122240144 is an abundant number, since it is smaller than the sum of its proper divisors (391065312233056).

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

343200122240144 is a wasteful number, since it uses less digits than its factorization.

343200122240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38365188 (or 38365182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 343200122240144 its reverse (441042221002343), we get a palindrome (784242343242487).

The spelling of 343200122240144 in words is "three hundred forty-three trillion, two hundred billion, one hundred twenty-two million, two hundred forty thousand, one hundred forty-four".