344144143044 has 405 divisors, whose sum is σ = 1027815196023. Its totient is φ = 100357335936.

The previous prime is 344144143003. The next prime is 344144143111. The reversal of 344144143044 is 440341441443.

The square root of 344144143044 is 586638.

It is a perfect power (a square), and thus also a powerful number.

344144143044 is a `hidden beast` number, since 3 + 44 + 144 + 1 + 430 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12036284100 + 332107858944 = 109710^2 + 576288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3157285662 + ... + 3157285770.

Almost surely, 2^344144143044 is an apocalyptic number.

344144143044 is the 586638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344144143044

344144143044 is an abundant number, since it is smaller than the sum of its proper divisors (683671052979).

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

344144143044 is a wasteful number, since it uses less digits than its factorization.

344144143044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Multiplying 344144143044 by its sum of digits (36), we get a square (12389189149584 = 3519828²).

344144143044 divided by its sum of digits (36) gives a square (9559559529 = 97773²).

Adding to 344144143044 its reverse (440341441443), we get a palindrome (784485584487).

The spelling of 344144143044 in words is "three hundred forty-four billion, one hundred forty-four million, one hundred forty-three thousand, forty-four".