344018412864 has 252 divisors, whose sum is σ = 1207430452800. Its totient is φ = 93117620736.

The previous prime is 344018412827. The next prime is 344018412917. The reversal of 344018412864 is 468214810443.

344018412864 is a `hidden beast` number, since 3 + 440 + 1 + 84 + 128 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215497 + ... + 857015.

Almost surely, 2^344018412864 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 344018412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603715226400).

344018412864 is an abundant number, since it is smaller than the sum of its proper divisors (863412039936).

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

344018412864 is a wasteful number, since it uses less digits than its factorization.

344018412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641570 (or 641550 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 344018412864 in words is "three hundred forty-four billion, eighteen million, four hundred twelve thousand, eight hundred sixty-four".