344819864128 has 56 divisors (see below), whose sum is σ = 690771069560. Its totient is φ = 170768424960.

The previous prime is 344819864117. The next prime is 344819864131. The reversal of 344819864128 is 821468918443.

It can be written as a sum of positive squares in 4 ways, for example, as 46756277824 + 298063586304 = 216232^2 + 545952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25197448 + ... + 25211128.

Almost surely, 2^344819864128 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 344819864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345385534780).

344819864128 is an abundant number, since it is smaller than the sum of its proper divisors (345951205432).

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

344819864128 is a wasteful number, since it uses less digits than its factorization.

344819864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17415 (or 17405 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The spelling of 344819864128 in words is "three hundred forty-four billion, eight hundred nineteen million, eight hundred sixty-four thousand, one hundred twenty-eight".